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math.AC2010★ 8 cited
Homological algebra modulo exact zero-divisors
Petter Andreas Bergh, Olgur Celikbas, David A. Jorgensen
We study the homological behavior of modules over local rings modulo exact zero-divisors. We obtain new results which are in some sense "opposite" to those known for modules over l…
math.AC2010
Brauer-Thrall for totally reflexive modules
Lars Winther Christensen, David A. Jorgensen, Hamidreza Rahmati +2
Let R be a commutative noetherian local ring that is not Gorenstein. It is known that the category of totally reflexive modules over R is representation infinite, provided that it…