Volume 10 (2022-2023)
Volume 9 (2021-2022)
Volume 8 (2020-2021)
Volume 7 (2019-2020)
Volume 6 (2018-2019)
Volume 5 (2017-2018)
Volume 4 (2016-2017)
Volume 3 (2015-2016)
Volume 2 (2014-2015)
Volume 1 (2013-2014)
FINITENESS PROPERTIES OF FORMAL LOCAL COHOMOLOGY MODULES

Sh. Rezaei; A. Riahini Komachali

Volume 9, Issue 2 , January 2022, , Pages 323-333

http://dx.doi.org/10.22044/jas.2021.9875.1484

Abstract
  In this paper, we investigate some properties of top formal localcohomology FdimM=aMa (M). Among other things, we determine AttR(FdimM=aMa (M)),in the case that FdimM=aMa (M) is an artinian module. Also we show that FdimM=aMa (M)is artinian if and only if it is minimax..  Read More

ANNIHILATOR OF LOCAL COHOMOLOGY MODULES UNDER THE RING EXTENSION R⊂R[X]

M. Seidali Samani; K. Bahmanpour

Volume 8, Issue 1 , September 2020, , Pages 95-102

http://dx.doi.org/10.22044/jas.2019.8232.1401

Abstract
  Let R be a commutative Noetherian ring, I an ideal of R and M a non-zero R-module. In this paper we calculate the extension of annihilator of localcohomology modules H^t_I(M), t≥0, under the ring extension R⊂R[X] (resp.R⊂R[[X]]). By using this extension we will present some of the faithfulness ...  Read More

SERRE SUBCATEGORY, LOCAL HOMOLOGY AND LOCAL COHOMOLOGY

S. O. Faramarzi; Z. Barghsouz

Volume 7, Issue 2 , January 2020, , Pages 301-314

http://dx.doi.org/10.22044/jas.2019.7430.1366

Abstract
  We show some results about local homology modules and local cohomology modules concerning to being in a serre sub category of the category of R-modules. Also for an ideal I of R we define the concept of CI condition on a serre category, which seems dual to CI condition of Melkerson [1]. ...  Read More

ARTINIANNESS OF COMPOSED LOCAL COHOMOLOGY MODULES

H. Saremi

Volume 4, Issue 1 , September 2016, , Pages 79-84

http://dx.doi.org/10.22044/jas.2016.730

Abstract
  Let $R$ be a commutative Noetherian ring and let $fa$, $fb$ be two ideals of $R$ such that $R/({fa+fb})$ is Artinian. Let $M$, $N$ be two finitely generated $R$-modules. We prove that $H_{fb}^j(H_{fa}^t(M,N))$ is Artinian for $j=0,1$, where $t=inf{iin{mathbb{N}_0}: H_{fa}^i(M,N)$ is not finitelygenerated ...  Read More

A SHORT PROOF OF A RESULT OF NAGEL

N. Shirmohammadi

Volume 3, Issue 2 , January 2016, , Pages 211-215

http://dx.doi.org/10.22044/jas.2015.619

Abstract
  Let $(R,fm)$ be a Gorenstein local ring and$M,N$ be two finitely generated modules over $R$. Nagel proved that if $M$ and $N$ are inthe same even liaison class, thenone has $H^i_{fm}(M)cong H^i_{fm}(N)$ for all $iIn this paper, we provide a short proof to this result.  Read More