@article{oai:tsukuba.repo.nii.ac.jp:00016069,
author = {Enochs, Edgar E. and Jenda, Overtoun M.G. and Xu, Jinzhong},
issue = {2},
journal = {Tsukuba journal of mathematics},
month = {Dec},
note = {A module over a Gorenstein ring is said to be Gorenstein injective if it splits under all modules of finite projective dimension. We show that over a Gorenstein ring every module has a Gorenstein injective envelope. We apply this result to the group algebra ZpG (with G a finite group and Zp the ring of p-adic integers for some prime p) and show that ever finitely genecrated ZpG-module has a cover by a lattice. This gives a way of lifting finite dimensional representations of G over Z/(p) to modular representations of G over Zp.},
pages = {487--503},
title = {Covers and envelopes over Gorenstein rings},
volume = {20},
year = {1996}
}