Modules invariant under automorphisms of their covers and envelopes
Rings and Algebras
2014-04-29 v1
Abstract
In this paper we develop a general theory of modules which are invariant under automorphisms of their covers and envelopes. When applied to specific cases like injective envelopes, pure-injective envelopes, cotorsion envelopes, projective covers, or flat covers, these results extend and provide a much more succinct and clear proofs for various results existing in the literature. Our results are based on several key observations on the additive unit structure of von Neumann regular rings.
Keywords
Cite
@article{arxiv.1404.7090,
title = {Modules invariant under automorphisms of their covers and envelopes},
author = {Pedro A. Guil Asensio and Derya Keskin Tütüncü and Ashish K. Srivastava},
journal= {arXiv preprint arXiv:1404.7090},
year = {2014}
}
Comments
to appear in Israel Journal of Mathematics