GENERALIZED GORENSTEIN DIMENSION OVER GROUP RINGS

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BAHLEKEH A.; KAKAIE T.

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Journal Paper

Paper Information

Journal: JOURNAL OF ALGEBRAIC SYSTEMS Year:2017 | Volume:5 | Issue:1 Page(s): 53-64

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Information Journal Paper

Title

GENERALIZED GORENSTEIN DIMENSION OVER GROUP RINGS

Author(s)

BAHLEKEH A. | KAKAIE T. | Issue Writer Certificate

Keywords

Semi-dualizing bimodules

Generalized Gorenstein dimension

Group rings

Abstract

Let (R; m) be a commutative noetherian local ring and 􀀀 be a nite group. It is proved that if R admits a dualiz-ing module, then the group ring R􀀀 has a dualizing bimodule, as well. Moreover, it is shown that a nitely generated R􀀀-module M has Generalized Gorenstein dimension zero if and only if it has Generalized Gorenstein dimension zero as an R-module.

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APA: Copy

BAHLEKEH, A., & KAKAIE, T.. (2017). GENERALIZED GORENSTEIN DIMENSION OVER GROUP RINGS. JOURNAL OF ALGEBRAIC SYSTEMS, 5(1 ), 53-64. SID. https://sid.ir/paper/268387/en

Vancouver: Copy

BAHLEKEH A., KAKAIE T.. GENERALIZED GORENSTEIN DIMENSION OVER GROUP RINGS. JOURNAL OF ALGEBRAIC SYSTEMS[Internet]. 2017;5(1 ):53-64. Available from: https://sid.ir/paper/268387/en

IEEE: Copy

A. BAHLEKEH, and T. KAKAIE, “GENERALIZED GORENSTEIN DIMENSION OVER GROUP RINGS,” JOURNAL OF ALGEBRAIC SYSTEMS, vol. 5, no. 1 , pp. 53–64, 2017, [Online]. Available: https://sid.ir/paper/268387/en

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