THE EXISTENCE OF GORENSTEIN INJECTIVE ENVELOPES

Authors

  • Zahra Heidarian

DOI:

https://doi.org/10.30495/jme.v9i0.364

Keywords:

Envelope, preenvelope, Gorenstein injective.

Abstract

Let R be a commutative Noetherian ring. We prove that every R-module of finite Gorenstein dimension has a Gorenstein injective envelope g:M->G where injective dimension of Ker g is finite and g is injective.

Author Biography

Zahra Heidarian

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Published

2015-11-06

Issue

Section

Vol. 9, No. 4, (2015)