Hasil untuk "math.AC"

Antonino Ficarra

We present the theory of cotangent functors following the approach of Palamodov, and a conjecture of Herzog relating the vanishing of certain cotangent functors to the property of being a complete intersection.

Ali Shahidikia

For a ring R and an endomorphism α of R, we characterize the left and right strongly primeness of skew Hurwitz polynomial ring (hR, α).

Balint Rago

We give an algebraic characterization of half-factorial orders in algebraic number fields. This generalizes prior results for seminormal orders and for orders in quadratic number fields.

Enrique Arrondo

We give a short proof of the most general version of the Nullstellensatz without using the Axiom of Choice.

K. Robin McLean

Peyman Nasehpour

In this paper, we generalize Gauss' lemma for polynomials over subtractive factorial semidomains.

Dorin Popescu

A short proof of the linear nested Artin approximation property of the algebraic power series rings is given here.

H. W. Lenstra, A. Silverberg

We present a deterministic polynomial-time algorithm that determines whether a finite module over a finite commutative ring is cyclic, and if it is, outputs a generator.

M. Eghbali, N. Shirmohammadi

Some relations between cohomological dimensions and depths of linked ideals are investigated and discussed by various examples.

Clare D'Cruz

In this paper we give a unified approach for several results concerning the fiber cone of ideals

Abdeslam Mimouni

In this note we present a corregindium to our paper "Krull dimension, Overrings and Semistar operations of an integral Domain", Journal of Algebra, 321 (2009), 1497--1509.

Michael Wibmer

We present a characterization of differential Picard-Vessiot extensions which is analogous to the field theoretic characterization of Galois extensions in classical Galois theory.

Javier Majadas

A ring with a test module of finite upper complete intersection dimension is complete intersection.

I. P. Bogdanov

Dang Tuan Hiep

The aim of this note is to describe how to compute the intersection multiplicity defined by Jean Pierre Serre.

Yongbin Li

This paper has been withdrawn by the author due to an erro thereon line -2 of page 4.

Paul Monsky

We give a treatment of the Brenner-Monsky example based on polynomial algebra and linear algebra. No prior knowledge of tight closure theory, Hilbert-Kunz theory, algebraic geometry or local cohomology is assumed.

Najib Mahdou, Mohamed Tamekkante

In this paper, we characterize an amalgamated duplication of a ring $R$ along a proper ideal $I$, $R\bowtie I$, which is quasi-Frobenius.

Mohamed Chhiti, Najib Mahdou

The aim of this paper is to study the classical global and weak dimensions of the amalgamated duplication of a ring $R$ along a pure ideal $I$.

Fritz Gesztesy, Konstantin A. Makarov, Maxim Zinchenko