$n$-strongly Gorenstein graded modules

Gao, Zenghui; Peng, Jie

doi:10.21136/cmj.2018.0160-17

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2019

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“…A graded right R-module M is called n-gr-flat [20] if Tor n R (N, M ) = 0 for any finitely n-presented graded left R-module N . For more details about graded modules see [11,14,15]. From now on, X k is non empty and a class of k-presented left R-modules in a given X for any…”

Section: Preliminariesmentioning

confidence: 99%

Gorenstein n-X-injective and n-X-flat modules with respect to a special finitely presented module

Amini¹,

Benkhadra²,

Bennis³

2019

Preprint

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Let R be a ring, X a class of R-modules and n ≥ 1 an integer. In this paper, via special finitely presented modules, we introduce the concepts of Goresntein n-Xinjective and n-X -flat modules. And aside, we obtain some equivalent properties of these modules on n-X -coherent rings. Then, we investigate the relations among Goresntein n-X -injective, n-X -flat, injective and flat modules on X -F C-rings (n-X -coherent and n-X -injective). Several known results are generalized to this new context.

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