{"results":[{"id":"crossref_10.1103/yt44-ky4x","title":"Spectroscopy of\n                    \u003cmml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"\u003e\n                      \u003cmml:msup\u003e\n                        \u003cmml:mi/\u003e\n                        \u003cmml:mn\u003e209\u003c/mml:mn\u003e\n                      \u003c/mml:msup\u003e\n                    \u003c/mml:math\u003e\n                    Ac and\n                    \u003cmml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"\u003e\n                      \u003cmml:msup\u003e\n                        \u003cmml:mi/\u003e\n                        \u003cmml:mn\u003e207\u003c/mml:mn\u003e\n                      \u003c/mml:msup\u003e\n                    \u003c/mml:math\u003e\n                    Ac","authors":[{"name":"Anonymous"}],"abstract":"","source":"CrossRef","year":2026,"language":"en","subjects":null,"doi":"10.1103/yt44-ky4x","url":"https://doi.org/10.1103/yt44-ky4x","is_open_access":true,"published_at":"","score":70},{"id":"crossref_10.1007/s10998-025-00691-9","title":"Divisibility vs. Strong Divisibility in Set Theory Without $$\\textsf{AC}$$","authors":[{"name":"Eleftherios Tachtsis"}],"abstract":"","source":"CrossRef","year":2025,"language":"en","subjects":null,"doi":"10.1007/s10998-025-00691-9","url":"https://doi.org/10.1007/s10998-025-00691-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10998-025-00691-9.pdf","is_open_access":true,"published_at":"","score":69},{"id":"ss_59637c9dfa11c4dc693f7fcf9d0d06d2ae224770","title":"Topological Koszulity for Category Algebras","authors":[{"name":"David Favero"},{"name":"Pouya Layeghi"}],"abstract":"We give a topological description of Ext groups between simple representations of categories via a nerve type construction. We use it to show that the Koszulity of indiscretely based category algebras is equivalent to the locally bouquet property of this nerve. We also provide a class of functors which preserve the Koszulity of category algebras called almost discrete fibrations. Specializing from categories to posets, we show that the equivalence relations of V. Reiner and D. Stamate in arXiv:0904.1683 [math.AC] are exactly almost discrete fibrations and recover their results. As an application, we classify when a shifted dual collection to a full strong exceptional collection of line bundles on a toric variety is strong.","source":"Semantic Scholar","year":2024,"language":"en","subjects":["Mathematics"],"url":"https://www.semanticscholar.org/paper/59637c9dfa11c4dc693f7fcf9d0d06d2ae224770","is_open_access":true,"published_at":"","score":68},{"id":"crossref_10.1016/j.rser.2020.110280","title":"Carbon based catalysts for the hydrodeoxygenation of lignin and related molecules: A powerful tool for the generation of non-petroleum chemical products including hydrocarbons","authors":[{"name":"Vinit Sharma"},{"name":"Tokuma Getahun"},{"name":"Minal Verma"},{"name":"Alberto Villa"},{"name":"Neeraj Gupta"}],"abstract":"","source":"CrossRef","year":2020,"language":"en","subjects":null,"doi":"10.1016/j.rser.2020.110280","url":"https://doi.org/10.1016/j.rser.2020.110280","is_open_access":true,"citations":61,"published_at":"","score":65.83},{"id":"ss_30f60b296a617b24c0a5672515740b22806fa397","title":"Corrigendum to “Total positivity of sums, Hadamard products and Hadamard powers: Results and counterexamples” [Linear Algebra Appl. 520 (2017) 242–259]","authors":[{"name":"Shaun M. Fallat"},{"name":"Charles R. Johnson"},{"name":"A. Sokal"}],"abstract":"Abstract We correct an error in the proof of Theorem 3.2 in our paper arXiv:1612.02210 [math.AC] , published in Fallat et al. (2017) [1] .","source":"Semantic Scholar","year":2021,"language":"en","subjects":["Mathematics"],"doi":"10.1016/J.LAA.2020.12.019","url":"https://www.semanticscholar.org/paper/30f60b296a617b24c0a5672515740b22806fa397","is_open_access":true,"published_at":"","score":65},{"id":"ss_b9c9785c6d98742b4912254632ac4bd481d72d6b","title":"Standard pairs of monomial ideals over nonnormal affine semigroups in SageMath","authors":[{"name":"Byeongsu Yu"}],"abstract":"We present stdPairs.spyx, a SageMath library to compute standard pairs of a monomial ideal over a pointed (non-normal) affine semigroup ring. Moreover, stdPairs.spyx provides the associated prime ideals, the corresponding multiplicities, and an irredundant irreducible primary decomposition of a monomial ideal. The library expands on the standardPairs function on Macaulay2 over polynomial rings, and is based on algorithms from arXiv:2005.10968v2 [math.AC]. We also provide methods that allow the outputs from this library to be compatible with the Normaliz package of Macaulay2 and SageMath.","source":"Semantic Scholar","year":2020,"language":"en","subjects":["Mathematics"],"doi":"10.2140/jsag.2021.11.129","url":"https://www.semanticscholar.org/paper/b9c9785c6d98742b4912254632ac4bd481d72d6b","pdf_url":"https://msp.org/jsag/2021/11-1/jsag-v11-n1-p13-s.pdf","is_open_access":true,"citations":4,"published_at":"","score":64.12},{"id":"arxiv_1806.04448","title":"A characterization of the Arf property for quadratic quotients of the Rees algebra","authors":[{"name":"Alessio Borzì"}],"abstract":"We provide a characterization of the Arf property in both the numerical duplication of a numerical semigroup and in a member of a family of quotients of the Rees algebra studied in arXiv:1403.4200 [math.AC]","source":"arXiv","year":2018,"language":"en","subjects":["math.AC"],"doi":"10.1142/S0219498820501273","url":"https://arxiv.org/abs/1806.04448","pdf_url":"https://arxiv.org/pdf/1806.04448","is_open_access":true,"published_at":"2018-06-12T11:40:34Z","score":62},{"id":"arxiv_1601.01064","title":"Entropy in the category of perfect complexes with cohomology of finite length","authors":[{"name":"Mahdi Majidi-Zolbanin"},{"name":"Nikita Miasnikov"}],"abstract":"Local and category-theoretical entropies associated with an endomorphism of finite length (i.e., with zero-dimensional closed fiber) of a commutative Noetherian local ring are compared. Local entropy is shown to be less than or equal to category-theoretical entropy. The two entropies are shown to be equal when the ring is regular, and also for the Frobenius endomorphism of a complete local ring of positive characteristic. Furthermore, given a flat morphism of Cohen-Macaulay local rings endowed with compatible endomorphisms of finite length, it is shown that local entropy is \"additive\". Finally, over a ring that is a homomorphic image of a regular local ring, a formula for local entropy in terms of an asymptotic partial Euler characteristic is given.","source":"arXiv","year":2016,"language":"en","subjects":["math.AC","math.AG","math.CT"],"doi":"10.1016/j.jpaa.2018.09.008","url":"https://arxiv.org/abs/1601.01064","pdf_url":"https://arxiv.org/pdf/1601.01064","is_open_access":true,"published_at":"2016-01-06T03:03:36Z","score":60},{"id":"arxiv_1512.07179","title":"Families of Gorenstein and almost Gorenstein rings","authors":[{"name":"Valentina Barucci"},{"name":"Marco D'Anna"},{"name":"Francesco Strazzanti"}],"abstract":"Starting with a commutative ring $R$ and an ideal $I$, it is possible to define a family of rings $R(I)_{a,b}$, with $a,b \\in R$, as quotients of the Rees algebra $\\oplus_{n \\geq 0} I^nt^n$; among the rings appearing in this family we find Nagata's idealization and amalgamated duplication. Many properties of these rings depend only on $R$ and $I$ and not on $a,b$; in this paper we show that the Gorenstein and the almost Gorenstein properties are independent of $a,b$. More precisely, we characterize when the rings in the family are Gorenstein, complete intersection, or almost Gorenstein and we find a formula for the type.","source":"arXiv","year":2015,"language":"en","subjects":["math.AC"],"doi":"10.1007/s11512-016-0235-5","url":"https://arxiv.org/abs/1512.07179","pdf_url":"https://arxiv.org/pdf/1512.07179","is_open_access":true,"published_at":"2015-12-22T17:59:02Z","score":59},{"id":"arxiv_1511.07780","title":"Annihilators of local cohomology modules and simplicity of rings of differential operators","authors":[{"name":"Alberto F. Boix"},{"name":"Majid Eghbali"}],"abstract":"One classical topic in the study of local cohomology is whether the non-vanishing of a specific local cohomology module is equivalent to the vanishing of its annihilator; this has been studied by several authors, including Huneke, Koh, Lyubeznik and Lynch. Motivated by questions raised by Lynch and Zhang, the goal of this paper is to provide some new results about this topic, which provide some partial positive answers to these questions. The main technical tool we exploit is the structure of local cohomology as module over rings of differential operators.","source":"arXiv","year":2015,"language":"en","subjects":["math.AC"],"url":"https://arxiv.org/abs/1511.07780","pdf_url":"https://arxiv.org/pdf/1511.07780","is_open_access":true,"published_at":"2015-11-24T16:14:19Z","score":59},{"id":"ss_4bf629644d38db67f1050d765572d852a33a89d4","title":"Betti numbers of graded modules and cohomology of vector bundles","authors":[{"name":"D. Eisenbud"},{"name":"F. Schreyer"}],"abstract":"Mats Boij and Jonas Soederberg (math.AC/0611081) have conjectured that the Betti table of a Cohen-Macaulay module over a polynomial ring can be decomposed in a certain way as a positive linear combination of Betti tables of modules with pure resolutions. We prove, over any field, a strengthened form of their conjecture. Applications include a proof of the Multiplicity Conjecture of Huneke and Srinivasan and a proof of the convexity of a fan naturally associated to the Young lattice. We also characterize the rational cone of all cohomology tables of vector bundles on projective spaces in terms of the cohomology tables of \"supernatural\" bundles. This characterization is dual, in a certain sense, to our characterization of Betti tables.","source":"Semantic Scholar","year":2007,"language":"en","subjects":["Mathematics"],"doi":"10.1090/S0894-0347-08-00620-6","url":"https://www.semanticscholar.org/paper/4bf629644d38db67f1050d765572d852a33a89d4","pdf_url":"https://www.ams.org/jams/2009-22-03/S0894-0347-08-00620-6/S0894-0347-08-00620-6.pdf","is_open_access":true,"citations":205,"published_at":"","score":57.15},{"id":"ss_f0733a5310341ad04baf6e6ff9ac6f792abb6dc3","title":"Stanley depth of quotient of monomial complete intersection ideals Mircea CIMPOEAŞ","authors":[{"name":"V. Ene"}],"abstract":"","source":"Semantic Scholar","year":2013,"language":"en","subjects":null,"url":"https://www.semanticscholar.org/paper/f0733a5310341ad04baf6e6ff9ac6f792abb6dc3","is_open_access":true,"published_at":"","score":57},{"id":"ss_6fcc8b06492f1a64a45be797c56448478f09ba80","title":"Kunz Regularity Criterion via algebraic entropy","authors":[{"name":"Mahdi Majidi-Zolbanin"},{"name":"N. Miasnikov"},{"name":"L. Szpiro"}],"abstract":"In arXiv:1109.6438v1 [math.AG] we introduced and studied a notion of algebraic entropy. In this paper we will give an application of algebraic entropy in proving Kunz Regularity Criterion for all contracting self-maps of finite length of Noetherian local rings in arbitrary characteristic. Some conditions of Kunz Criterion have already been extended to the general case by Avramov, Iyengar and Miller in arXiv:math/0312412v2 [math.AC], using different methods.","source":"Semantic Scholar","year":2011,"language":"en","subjects":["Mathematics"],"url":"https://www.semanticscholar.org/paper/6fcc8b06492f1a64a45be797c56448478f09ba80","is_open_access":true,"published_at":"","score":55},{"id":"arxiv_0808.3258","title":"Ratliff-Rush Filtration, regularity and depth of Higher Associated graded modules: Part II","authors":[{"name":"Tony J. Puthenpurakal"}],"abstract":"Let $(A,\\m)$ be a Noetherian local ring, let $M$ be a finitely generated \\CM   $A$-module of dimension $r \\geq 2$ and let $I$ be an ideal of definition for $M$. Set $L^I(M) = \\bigoplus_{n\\geq 0}M/I^{n+1}M$. In part one of this paper we showed that $L^I(M)$ is a module over $\\R$, the Rees algebra of $I$ and we gave many applications of $L^I(M)$ to study the associated graded module,   $G_I(M)$. In this paper we give many further applications of our technique; most notable is a reformulation of a classical result due to Narita in terms of the Ratliff-Rush filtration. This reformulation can be extended to all dimensions $\\geq 2$.","source":"arXiv","year":2008,"language":"en","subjects":["math.AC"],"url":"https://arxiv.org/abs/0808.3258","pdf_url":"https://arxiv.org/pdf/0808.3258","is_open_access":true,"published_at":"2008-08-24T17:22:47Z","score":52},{"id":"arxiv_0806.0495","title":"Recursive Polynomial Remainder Sequence and its Subresultants","authors":[{"name":"Akira Terui"}],"abstract":"We introduce concepts of \"recursive polynomial remainder sequence (PRS)\" and \"recursive subresultant,\" along with investigation of their properties. A recursive PRS is defined as, if there exists the GCD (greatest common divisor) of initial polynomials, a sequence of PRSs calculated \"recursively\" for the GCD and its derivative until a constant is derived, and recursive subresultants are defined by determinants representing the coefficients in recursive PRS as functions of coefficients of initial polynomials. We give three different constructions of subresultant matrices for recursive subresultants; while the first one is built-up just with previously defined matrices thus the size of the matrix increases fast as the recursion deepens, the last one reduces the size of the matrix drastically by the Gaussian elimination on the second one which has a \"nested\" expression, i.e. a Sylvester matrix whose elements are themselves determinants.","source":"arXiv","year":2008,"language":"en","subjects":["math.AC","cs.SC"],"doi":"10.1016/j.jalgebra.2007.12.023","url":"https://arxiv.org/abs/0806.0495","pdf_url":"https://arxiv.org/pdf/0806.0495","is_open_access":true,"published_at":"2008-06-03T10:52:48Z","score":52},{"id":"arxiv_0710.0697","title":"Toroidalization of generating sequences in dimension two function fields of positive characteristic","authors":[{"name":"Laura Ghezzi"},{"name":"Olga Kashcheyeva"}],"abstract":"We give a characteristic free proof of the main result of our previous paper (math.AC/0509697) concerning toroidalization of generating sequences of valuations in dimension two function fields. We show that when an extension of two dimensional algebraic regular local rings $R\\subset S$ satisfies the conclusions of the Strong Monomialization theorem of Cutkosky and Piltant, the map between generating sequences in $R$ and $S$ has a toroidal structure.","source":"arXiv","year":2007,"language":"en","subjects":["math.AC","math.AG"],"url":"https://arxiv.org/abs/0710.0697","pdf_url":"https://arxiv.org/pdf/0710.0697","is_open_access":true,"published_at":"2007-10-03T02:29:15Z","score":51},{"id":"arxiv_0712.1843","title":"Betti Numbers of Graded Modules and Cohomology of Vector Bundles","authors":[{"name":"David Eisenbud"},{"name":"Frank-Olaf Schreyer"}],"abstract":"Mats Boij and Jonas Soederberg (math.AC/0611081) have conjectured that the Betti table of a Cohen-Macaulay module over a polynomial ring can be decomposed in a certain way as a positive linear combination of Betti tables of modules with pure resolutions. We prove, over any field, a strengthened form of their conjecture. Applications include a proof of the Multiplicity Conjecture of Huneke and Srinivasan and a proof of the convexity of a fan naturally associated to the Young lattice.   We also characterize the rational cone of all cohomology tables of vector bundles on projective spaces in terms of the cohomology tables of \"supernatural\" bundles. This characterization is dual, in a certain sense, to our characterization of Betti tables.","source":"arXiv","year":2007,"language":"en","subjects":["math.AC","math.AG"],"url":"https://arxiv.org/abs/0712.1843","pdf_url":"https://arxiv.org/pdf/0712.1843","is_open_access":true,"published_at":"2007-12-11T23:06:46Z","score":51},{"id":"crossref_10.1007/bf02567863","title":"A deformation lemma on aC\n1 manifold","authors":[{"name":"Alexis Bonnet"}],"abstract":"","source":"CrossRef","year":1993,"language":"en","subjects":null,"doi":"10.1007/bf02567863","url":"https://doi.org/10.1007/bf02567863","pdf_url":"http://link.springer.com/content/pdf/10.1007/BF02567863.pdf","is_open_access":true,"citations":21,"published_at":"","score":50.63}],"total":1163843,"page":1,"page_size":20,"sources":["CrossRef","Semantic Scholar","arXiv"],"query":"math.AC"}