Results of generalized local cohomology modules of a-minimax modules

Let R be a commutative Noetherian ring, M a finitely generated R-module, and N a minimax R-module. It is shown that if a is an ideal of R, such that cd(a)=1, where cd is the cohomological dimension of a in R, then Haj(M, N) and ExtRi(M,Haj(N)) are a-cominimax for all i,j. Furthermore, if t is a non-negative integer such that Haj(M, N) is a-minimax for all j

Results of generalized local cohomology modules of a-minimax modules

Let R be a commutative Noetherian ring, M a finitely generated R-module, and N a minimax R-module. It is shown that if a is an ideal of R, such that cd(a)=1, where cd is the cohomological dimension of a in R, then Haj(M, N) and ExtRi(M,Haj(N)) are a-cominimax for all i,j. Furthermore, if t is a non-negative integer such that Haj(M, N) is a-minimax for all j

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  • Department of Mathematics, Sanandaj Branch, Islamic Azad University, Sanandaj-IRAN e-mails: herosaremi@yahoo.com, h saremi@iausdj.ac.ir