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

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 Author Finocchiaro, Carmelo Antonio ♦ Picozza, Giampaolo ♦ Tartarone, Francesca Source arXiv.org Content type Text File Format PDF Date of Submission 2010-01-28 Language English
 Subject Domain (in DDC) Natural sciences & mathematics ♦ Mathematics Subject Keyword Mathematics - Commutative Algebra ♦ Mathematics - Rings and Algebras ♦ 13A15 ♦ 13F05 ♦ math Abstract 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. Educational Use Research Learning Resource Type Article Page Count 16