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.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…
math.AC2004
Associated prime submodules of finitely generated modules
Kamran Divaani-Aazar, Mohammad Ali Esmkhani
Let be a commutative ring with identity. For a finitely generated -module , the notion of associated prime submodules of is defined. It is shown that this notion inhe…