SERRE SUBCATEGORY, LOCAL HOMOLOGY AND LOCAL COHOMOLOGY

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Faramarzi Seadatollah; Barghsouz Zahra

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Journal: JOURNAL OF ALGEBRAIC SYSTEMS Year:2020 | Volume:7 | Issue:2 Page(s): 301-314

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Information Journal Paper

Title

SERRE SUBCATEGORY, LOCAL HOMOLOGY AND LOCAL COHOMOLOGY

Author(s)

Faramarzi Seadatollah | Barghsouz Zahra | Issue Writer Certificate

Keywords

local homology

local cohomology

Serre category

Abstract

We show some results about local homology modules and local cohomology modules concerning to being in a serre sub category of the category of R-modules. Also for an ideal I of R we define the concept of CI condition on a Serre category, which seems dual to CI condition of Melkerson [1]. As a main result we show that for any minimax R-module M of any Serre category S that satisifies CI (CI) condition the local homology module HiI(M) (local cohomology module HIi(M) 2 S) for all i ≥ 0.

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APA: Copy

Faramarzi, Seadatollah, & Barghsouz, Zahra. (2020). SERRE SUBCATEGORY, LOCAL HOMOLOGY AND LOCAL COHOMOLOGY. JOURNAL OF ALGEBRAIC SYSTEMS, 7(2 ), 301-314. SID. https://sid.ir/paper/268361/en

Vancouver: Copy

Faramarzi Seadatollah, Barghsouz Zahra. SERRE SUBCATEGORY, LOCAL HOMOLOGY AND LOCAL COHOMOLOGY. JOURNAL OF ALGEBRAIC SYSTEMS[Internet]. 2020;7(2 ):301-314. Available from: https://sid.ir/paper/268361/en

IEEE: Copy

Seadatollah Faramarzi, and Zahra Barghsouz, “SERRE SUBCATEGORY, LOCAL HOMOLOGY AND LOCAL COHOMOLOGY,” JOURNAL OF ALGEBRAIC SYSTEMS, vol. 7, no. 2 , pp. 301–314, 2020, [Online]. Available: https://sid.ir/paper/268361/en

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