We show that if M is a finitely generated module over a commutative Noetherian local ring R
and I is a dimension one ideal of R (ie, dim RI= 1), then the local cohomology modules HIi …

THE DUAL NOTION OF MULTIPLICATION MODULES Page 1 TAIWANESE JOURNAL OF
MATHEMATICS Vol. 11, No. 4, pp. 1189-1201, September 2007 This paper is available online …

In this article, we introduce the dual notions of strongly prime, weakly prime, semiprime, and
primal submodules, that is, strongly second, weakly second, semisecond, and secondal …

Let R be a commutative ring and let M be an R-module. In this paper, we study the dual
notion of prime submodules (that is, second submodules of M). Also we introduce the dual …

It is shown that certain aspects of the theory of tight closure are well behaved under
localization. Let/be the parameter test ideal for R, a complete local Cohen-Macaulay ring of …

We introduce a local homology theory for linearly compact modules which is in some sense
dual to the local cohomology theory of A. Grothendieck [A. Grothendieck, Local …

arXiv:1609.08054v1 [math.AC] 26 Sep 2016 Page 1 arXiv:1609.08054v1 [math.AC] 26 Sep
2016 1 SOME GENERALIZATIONS OF SECOND SUBMODULES H. ANSARI-TOROGHY AND …

INFORMATION TO USERS Page 1 INFORMATION TO USERS This manuscript has been
reproduced from the microfilm master. UMI films the text directly from the original or copy …

Let R be a noetherian ring, a an ideal of R, and M an R-module. We prove that for a finite
module M, if\rm H^ i _ a (M) is minimax for all i≥ r≥ 1, then\rm H^ i _ a (M) is artinian for i≥ …

ON ARTINIANNESS OF FORMAL LOCAL COHOMOLOGY, COLOCALIZATION AND
COASSOCIATED PRIMES Page 1 MATH. SCAND. 113 (2013), 5-19 ON ARTINIANNESS OF …