2014/10/03 by Denise A. Rangel Tracy, Tracy, Denise A. Rangel
Mathematics · #Commutative Algebra (math.AC) #FOS: Mathematics #Representation Theory (math.RT) #math.AC #math.RT
paper · pdf · doi:10.48550/arxiv.1410.0732
arxiv created 2014/10/03 · arxiv updated 2014/10/06
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 Ext1 of two such modules over a specific ring.