3 papers
math.AC2005
Two characterizations of pure injective modules
Divaani-Aazar, Esmkhani, Tousi
Let be a commutative ring with identity and an -module. It is shown that if is pure injective, then is isomorphic to a direct summand of the direct product of a…
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…