Filtrations of Totally Reflexive Modules
Commutative Algebra
2014-10-06 v1 Representation Theory
Abstract
In this paper, we will introduce a subcategory of totally reflexive modules that have a saturated filtration by other totally reflexive modules. We will prove these are precisely the totally reflexive modules with an upper-triangular presentation matrix. We conclude with an investigation of the ranks of of two such modules over a specific ring.
Cite
@article{arxiv.1410.0732,
title = {Filtrations of Totally Reflexive Modules},
author = {Denise A. Rangel Tracy},
journal= {arXiv preprint arXiv:1410.0732},
year = {2014}
}