5 citations · 21 across the 43 of their papers we have counts for
6 papers · 1 filter
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…
Associated primes of local cohomology module
Kamran Divaani-Aazar, Amir Mafi
Let $\fa$ be an ideal of a commutative Noetherian ring and a finitely generated -module. Let be a natural integer. It is shown that there is a finite subset of $…
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…
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…
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…
A new characterization of commutative Artinian rings
Kamran Divaani-Aazar, Amir Mafi
Let be a commutative Noetherian ring. It is shown that is Artinian if and only if every -module is good, if and only if every -module is representable. As a result, i…