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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
On vanishing of generalized local cohomology modules
K. Divaani-Aazar, R. Sazeedeh, M. Tousi
Let $\fa$ denote an ideal of a -dimensional Gorenstein local ring and and two finitely generated -modules with $\pd M< \infty$. It is shown that $H^d_{\fa}(M,N)=0…
math.AC2004
Cofiniteness of generalized local cohomology modules
Kamran Divaani-Aazar, Reza Sazeedeh
Let $\fa$ denote an ideal of a commutative Noetherian ring and and two finitely generated -modules with $\pd M< \infty$. It is shown that if $\fa$ is principal or $R…