Gorenstein Injective Envelopes and Covers

Alina Iacob

Gorenstein Injective Envelopes and Covers

Mathematical Sciences

Research output: Contribution to conference › Presentation

Abstract

We prove if R is a commutative noetherian ring such that the character modules of Gorenstein injective modules are Gorenstein at, then the class of Gorenstein injective modules is covering. We also prove that over such a ring the class of Gorenstein injective modules is enveloping. In particular this shows the existence of the Gorenstein injective envelopes over commutative noetherian rings with dualizing complexes. This is joint work with Edgar Enochs.

Original language	American English
State	Published - May 25 2013
Event	Workshop on Gorenstein Homological Algebra - Hefei, China Duration: May 25 2013 → …

Conference

Conference	Workshop on Gorenstein Homological Algebra
Period	05/25/13 → …

Keywords

Edgar Enochs
Gorenstein injective envelopes

DC Disciplines

Mathematics

Cite this

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title = "Gorenstein Injective Envelopes and Covers",

abstract = " We prove if R is a commutative noetherian ring such that the character modules of Gorenstein injective modules are Gorenstein at, then the class of Gorenstein injective modules is covering. We also prove that over such a ring the class of Gorenstein injective modules is enveloping. In particular this shows the existence of the Gorenstein injective envelopes over commutative noetherian rings with dualizing complexes. This is joint work with Edgar Enochs.",

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author = "Alina Iacob",

year = "2013",

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note = "Workshop on Gorenstein Homological Algebra ; Conference date: 25-05-2013",

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TY - CONF

T1 - Gorenstein Injective Envelopes and Covers

AU - Iacob, Alina

PY - 2013/5/25

Y1 - 2013/5/25

N2 - We prove if R is a commutative noetherian ring such that the character modules of Gorenstein injective modules are Gorenstein at, then the class of Gorenstein injective modules is covering. We also prove that over such a ring the class of Gorenstein injective modules is enveloping. In particular this shows the existence of the Gorenstein injective envelopes over commutative noetherian rings with dualizing complexes. This is joint work with Edgar Enochs.

AB - We prove if R is a commutative noetherian ring such that the character modules of Gorenstein injective modules are Gorenstein at, then the class of Gorenstein injective modules is covering. We also prove that over such a ring the class of Gorenstein injective modules is enveloping. In particular this shows the existence of the Gorenstein injective envelopes over commutative noetherian rings with dualizing complexes. This is joint work with Edgar Enochs.

KW - Edgar Enochs

KW - Gorenstein injective envelopes

UR - http://home.ustc.edu.cn/~xwchen/Seminar%20material/program%20and%20abstract%20May%202013.pdf

M3 - Presentation

T2 - Workshop on Gorenstein Homological Algebra

Y2 - 25 May 2013

ER -

Gorenstein Injective Envelopes and Covers

Abstract

Conference

Keywords

DC Disciplines

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