Totally reflexive extensions and modules

Details Totally reflexive extensions and modules Totally reflexive extensions and modules

2012-03-12

arxiv.org/abs/1203.2391v1

Mathematics

Rings and Algebras

Scientific paper

We introduce the notion of totally reflexive extension of rings. It unifies
Gorenstein orders and Frobenius extensions. We prove that for a totally
reflexive extension, a module over the extension ring is totally reflexive if
and only if its underlying module over the base ring is totally reflexive.

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