Star-Invertibility and $t$-finite character in Integral Domains

Details Star-Invertibility and $t$-finite character in Integral Domains Star-Invertibility and $t$-finite character in Integral Domains

2010-01-28

arxiv.org/abs/1001.5220v1

Mathematics

Commutative Algebra

16 pages

Scientific paper

Let $A$ be an integral domain. We study new conditions on families of
integral ideals of $A$ in order to get that $A$ is of $t$-finite character
(i.e., each nonzero element of $A$ is contained in finitely many $t$-maximal
ideals). We also investigate problems connected with the local invertibility of
ideals.

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