Tiberiu Dumitrescu
We extend to multiplicative lattices a theorem of Anderson and Roitman characterizing the cancellation ideals of a commutative ring.
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Tiberiu Dumitrescu
We extend to multiplicative lattices a theorem of Anderson and Roitman characterizing the cancellation ideals of a commutative ring.
Joan Elias
In this paper we give conditions on a homogeneous polynomial for which the associated graded Artin algebra is a complete intersection.
Tony J. Puthenpurakal
In this paper we consider projective and injective resolutions of Koszul complexes and give several applications to the study of Koszul homology modules.
Mehrdad Nasernejad, Jonathan Toledo
In this paper we investigate the monomial ideals which satisfy the copersistence property or nearly copersistence property.
Ian Doust, Michael Leinert, Alan Stoneham
F. Farshadifar
This paper deals with some results concerning finitely generated coreduced comultiplication modules over a commutative ring.
Sampat Sharma
In this paper, we prove that there is group homomorphism from general linear group over a polynomial extension of a local ring to the W. van der Kallen group.
Scott T. Chapman
Using factorization properties, we give several characterizations for an algebraic number ring to have class number 2.
Teruyuki Ohashi, Takahisa Tanaka, Tsunaki Takahashi et al.
Jiangsheng Hu, Yuxian Geng, Qinghua Jiang
Akihiro Shikama
In this paper we give a toric representation of the associated ring of a polyomino which is obtained by removing a convex polyomino from its ambient rectangle.
Majid Eghbali
We give an alternative proof to the annihilator of local cohomology in characteristic zero which was proved by Lyubeznik.
Alborz Azarang
We give an undergraduate short and simple proof for Zariski's lemma.
A. M. Abylaeva, A. O. Baĭarystanov, R. Oĭnarov
Craig Huneke
This paper summarizes three talks given by the author during a PASI conference in Olinda, Brasil
Paweł Szcześniak
Neena Gupta
In this paper we shall show that when k is a field of positive characteristic the affine space A^n_k is not cancellative for any n greater than 2.
Z. Arvasi, A. Odabas
In this paper, we described the GAP implementation of crossed modules of commutative algebras and cat$^{1}$-algebras and their equivalence.
Lori McDonnell
We consider a conjecture of Watanabe and Yoshida concerning the Hilbert - Kunz multiplicity of an ideal in a Cohen-Macaulay ring and provide a proof of the conjecture in the case the ring is graded.
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