Gorenstein Flat and Projective (Pre)Covers

Sergio Estrada; Alina Iacob; Sinem Odabasi

doi:10.5486/PMD.2017.7689

Gorenstein Flat and Projective (Pre)Covers

Sergio Estrada, Alina Iacob, Sinem Odabasi

Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

We consider a right coherent ring R. We prove that the class of Gorenstein flat complexes is covering in the category of complexes of left R-modules Ch(R). When R is also left n-perfect, we prove that the class of Gorenstein projective complexes is special precovering in Ch(R).

Original language	American English
Pages (from-to)	111-121
Number of pages	11
Journal	Publicationes Mathematicae
Volume	91
Issue number	1-2
DOIs	https://doi.org/10.5486/PMD.2017.7689
State	Published - 2017

Keywords

Gorenstein projective complex
Gorenstein projective module
Gorenstein projective precover
Gorenstein ﬂat complex
Gorenstein ﬂat cover
Gorenstein ﬂat module
Gorenstein flat complex
Gorenstein flat cover
Gorenstein flat module
Gorenstein projective module Gorenstein projective complex

DC Disciplines

Physical Sciences and Mathematics

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10.5486/PMD.2017.7689

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title = "Gorenstein Flat and Projective (Pre)Covers",

abstract = " We consider a right coherent ring R. We prove that the class of Gorenstein flat complexes is covering in the category of complexes of left R-modules Ch(R). When R is also left n-perfect, we prove that the class of Gorenstein projective complexes is special precovering in Ch(R).",

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author = "Sergio Estrada and Alina Iacob and Sinem Odabasi",

year = "2017",

doi = "10.5486/PMD.2017.7689",

language = "American English",

volume = "91",

pages = "111--121",

journal = "Publicationes Mathematicae",

issn = "2064-2849",

publisher = "University of Debrecen, Institute of Mathematics",

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T1 - Gorenstein Flat and Projective (Pre)Covers

AU - Estrada, Sergio

AU - Iacob, Alina

AU - Odabasi, Sinem

PY - 2017

Y1 - 2017

N2 - We consider a right coherent ring R. We prove that the class of Gorenstein flat complexes is covering in the category of complexes of left R-modules Ch(R). When R is also left n-perfect, we prove that the class of Gorenstein projective complexes is special precovering in Ch(R).

AB - We consider a right coherent ring R. We prove that the class of Gorenstein flat complexes is covering in the category of complexes of left R-modules Ch(R). When R is also left n-perfect, we prove that the class of Gorenstein projective complexes is special precovering in Ch(R).

KW - Gorenstein projective complex

KW - Gorenstein projective module

KW - Gorenstein projective precover

KW - Gorenstein ﬂat complex

KW - Gorenstein ﬂat cover

KW - Gorenstein ﬂat module

KW - Gorenstein flat complex

KW - Gorenstein flat cover

KW - Gorenstein flat module

KW - Gorenstein projective module Gorenstein projective complex

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DO - 10.5486/PMD.2017.7689

M3 - Article

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VL - 91

SP - 111

EP - 121

JO - Publicationes Mathematicae

JF - Publicationes Mathematicae

IS - 1-2

ER -

Gorenstein Flat and Projective (Pre)Covers

Abstract

Keywords

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