The Huneke-Wiegand conjecture and middle terms of almost split sequences
Commutative Algebra
2019-11-12 v2
Abstract
Let R be a Gorenstein local domain of dimension one. We show that a nonfree maximal Cohen--Macaulay R-module M possessing more than one nonfree indecomposable summand in the middle term of the almost split sequence ending in M has a nonvanishing self extension. In other words, we show that the Huneke--Wiegand conjecture is affirmative for such R-modules M.
Keywords
Cite
@article{arxiv.1907.02348,
title = {The Huneke-Wiegand conjecture and middle terms of almost split sequences},
author = {Toshinori Kobayashi},
journal= {arXiv preprint arXiv:1907.02348},
year = {2019}
}
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5 pages