RESULTS ON ALMOST COHEN-MACAULAY MODULES

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MAFI A.; TABEJAMAAT S.

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Journal Paper

Paper Information

Journal: JOURNAL OF ALGEBRAIC SYSTEMS Year:2016 | Volume:3 | Issue:2 Page(s): 147-160

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Information Journal Paper

Title

RESULTS ON ALMOST COHEN-MACAULAY MODULES

Author(s)

MAFI A. | TABEJAMAAT S. | Issue Writer Certificate

Keywords

Almost Cohen-Macaulay module

Perfect module

Ext functor

Abstract

Let (R; m) be a commutative Noetherian local ring, and M be a non-zero nitely-generated R-module. We show that if R is almost Cohen-Macaulay andM is perfect with nite projective dimension, then M is an Almost Cohen-Macaulay module. Also, we give some necessary and sufficient conditions on M to be an Almost Cohen-Macaulay module, by using Ext functors.

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APA: Copy

MAFI, A., & TABEJAMAAT, S.. (2016). RESULTS ON ALMOST COHEN-MACAULAY MODULES. JOURNAL OF ALGEBRAIC SYSTEMS, 3(2 ), 147-160. SID. https://sid.ir/paper/268374/en

Vancouver: Copy

MAFI A., TABEJAMAAT S.. RESULTS ON ALMOST COHEN-MACAULAY MODULES. JOURNAL OF ALGEBRAIC SYSTEMS[Internet]. 2016;3(2 ):147-160. Available from: https://sid.ir/paper/268374/en

IEEE: Copy

A. MAFI, and S. TABEJAMAAT, “RESULTS ON ALMOST COHEN-MACAULAY MODULES,” JOURNAL OF ALGEBRAIC SYSTEMS, vol. 3, no. 2 , pp. 147–160, 2016, [Online]. Available: https://sid.ir/paper/268374/en

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