Existence of Totally Reflexive Modules via Gorenstein Homomorphisms

Details Existence of Totally Reflexive Modules via Gorenstein Homomorphisms Existence of Totally Reflexive Modules via Gorenstein Homomorphisms

2011-01-13

arxiv.org/abs/1101.2658v3

Mathematics

Commutative Algebra

Redundancy problem fixed. Most recent version to appear in the Journal of Commutative Algebra

Scientific paper

We define, via Gorenstein homomorphisms, a class of local rings over which
there exist non-trivial totally reflexive modules. We also provide a general
construction of such rings, which indicates their abundance.

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