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Gorenstein coresolving categories

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0 Published in 2017 at "Communications in Algebra"

DOI: 10.1080/00927872.2016.1270293

Abstract: ABSTRACT Let ???? be an abelian category. A subcategory ???? of ???? is called coresolving if ???? is closed under extensions and cokernels of monomorphisms and contains all injective objects of ????. In this paper,… read more here.

Keywords: category; injective modules; gorenstein injective; gorenstein coresolving ... See more keywords

Triangle equivalences involving Gorenstein FP-injective modules

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0 Published in 2018 at "Communications in Algebra"

DOI: 10.1080/00927872.2018.1459639

Abstract: ABSTRACT Recently, Hu et al. [16] introduced the notion of Gorenstein FP-injective modules and investigated a notion of Gorenstein FP-injective dimension for complexes. Let R be a left coherent ring and Db(R-Mod) the bounded derived… read more here.

Keywords: involving gorenstein; category; injective modules; gorenstein ... See more keywords

Torsion of injective modules and weakly pro-regular sequences

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0 Published in 2020 at "Communications in Algebra"

DOI: 10.1080/00927872.2020.1742728

Abstract: Abstract Let R a commutative ring, an ideal, I an injective R-module and a multiplicatively closed set. When R is Noetherian it is well-known that the -torsion sub-module the factor module and the localization IS… read more here.

Keywords: regular sequences; injective modules; weakly pro; torsion injective ... See more keywords

Ding injective modules

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0 Published in 2021 at "Communications in Algebra"

DOI: 10.1080/00927872.2021.1883640

Abstract: Abstract We prove that, over any ring R, the class of Ding injective modules, is the right half of a hereditary cotorsion pair, We also show that, over a coherent ring R, a module M… read more here.

Keywords: injective modules; ding injective;

Characterization of rings using finite-direct-injective modules

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0 Published in 2019 at "Asian-European Journal of Mathematics"

DOI: 10.1142/s1793557120501338

Abstract: In this paper, we characterize strongly right [Formula: see text]-rings in terms of finite-direct-injective modules which is a generalization of direct-injective modules (or [Formula: see text]-modules). Using this result, we give an example of a… read more here.

Keywords: module; injective modules; finite direct; formula see ... See more keywords

Semisimple-direct-injective modules

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0 Published in 2020 at "Hacettepe Journal of Mathematics and Statistics"

DOI: 10.15672/hujms.730907

Abstract: The notion of simple-direct-injective modules which are a general- ization of injective modules unifies C2 and C3-modules. In the present paper, we introduce the notion of the semisimple-direct-injective module which gives a unified viewpoint of… read more here.

Keywords: semisimple direct; injective modules; right module; direct injective ... See more keywords