Rings which are almost Gorenstein

Details Rings which are almost Gorenstein Rings which are almost Gorenstein

2004-03-18

arxiv.org/abs/math/0403306v1

Mathematics

Commutative Algebra

19 pages

Scientific paper

We introduce classes of rings which are close to being Gorenstein. These
rings arise naturally as specializations of rings of countable CM type. We
study these rings in detail, and along the way generalize an old result of
Teter which characterized Artinian rings which are Gorenstein rings modulo
their socle.

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