2 papers
math.AC2005
Localization of tight closure in two-dimensional rings
Kamran Divaani-Aazar, Massoud Tousi
It is shown that tight closure commutes with localization in any two dimensional ring of prime characteristic if either is a Nagata ring or possesses a weak test elemen…
math.AC2004
Artinianness of local cohomology modules of ZD-modules
Kamran Divaani-Aazar, Mohammad Ali Esmkhani
This paper centers around Artinianness of the local cohomology of -modules. Let $\fa$ be an ideal of a commutative Noetherian ring . The notion of $\fa$-relative Goldie dime…