DG-Injective Covers, #-Injective Covers

Alina Iacob

doi:10.1080/00927871003739004

DG-Injective Covers, #-Injective Covers

Alina Iacob

Mathematical Sciences

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

7 Scopus citations

Abstract

Let R be a left noetherian ring. We show that every complex of left R-modules has a #-injective cover. We use this result to prove that the class of DG-injective complexes is covering if and only if the ring R is regular.

Original language	American English
Journal	Communications in Algebra
Volume	39
DOIs	https://doi.org/10.1080/00927871003739004
State	Published - Jun 21 2011

Disciplines

Education
Mathematics

Keywords

#\-Injective complex
Cover
DG\-injective complex

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https://doi.org/10.1080/00927871003739004

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title = "DG-Injective Covers, \#-Injective Covers",

abstract = "Let R be a left noetherian ring. We show that every complex of left R-modules has a \#-injective cover. We use this result to prove that the class of DG-injective complexes is covering if and only if the ring R is regular.",

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author = "Alina Iacob",

year = "2011",

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PY - 2011/6/21

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N2 - Let R be a left noetherian ring. We show that every complex of left R-modules has a #-injective cover. We use this result to prove that the class of DG-injective complexes is covering if and only if the ring R is regular.

AB - Let R be a left noetherian ring. We show that every complex of left R-modules has a #-injective cover. We use this result to prove that the class of DG-injective complexes is covering if and only if the ring R is regular.

KW - #\-Injective complex

KW - Cover

KW - DG\-injective complex

UR - https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/56

UR - https://doi.org/10.1080/00927871003739004

U2 - 10.1080/00927871003739004

DO - 10.1080/00927871003739004

M3 - Article

SN - 0092-7872

VL - 39

JO - Communications in Algebra

JF - Communications in Algebra

ER -

DG-Injective Covers, #-Injective Covers

Abstract

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Keywords

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