Volume 11 (2023-2024)
Volume 10 (2022-2023)
Volume 9 (2021-2022)
Volume 8 (2020-2021)
Volume 7 (2019-2020)
Volume 6 (2018-2019)
Volume 5 (2017-2018)
Volume 4 (2016-2017)
Volume 3 (2015-2016)
Volume 2 (2014-2015)
Volume 1 (2013-2014)
Keywords = cohomological dimension
Number of Articles: 3
A NOTE ON RELATIVE GENERALIZED COHEN-MACAULAY MODULES
Volume 10, Issue 1 , September 2022, , Pages 69-78
Abstract
Let a be a proper ideal of a ring R. A finitely generated R-module M is said to be a-relative generalized Cohen-Macaulay if f_a (M)=cd(a ,M). In this note, we introduce a suitable notion of length of a module to characterize the above mentioned modules. Also certain syzygy modules over a relative Cohen-Macaulay ... Read MoreANNIHILATOR OF LOCAL COHOMOLOGY MODULES UNDER THE RING EXTENSION R⊂R[X]
Volume 8, Issue 1 , September 2020, , Pages 95-102
Abstract
Let R be a commutative Noetherian ring, I an ideal of R and M a non-zero R-module. In this paper we calculate the extension of annihilator of localcohomology modules H^t_I(M), t≥0, under the ring extension R⊂R[X] (resp.R⊂R[[X]]). By using this extension we will present some of the faithfulness ... Read MoreUPPER BOUNDS FOR FINITENESS OF GENERALIZED LOCAL COHOMOLOGY MODULES
Volume 1, Issue 1 , September 2013, , Pages 1-9