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

Carmelo Antonio Finocchiaro; Giampaolo Picozza; Francesca Tartarone

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

Commutative Algebra 2010-01-29 v1 Rings and Algebras

Authors: Carmelo Antonio Finocchiaro , Giampaolo Picozza , Francesca Tartarone

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.

Keywords

integral domain star-invertibility t-finite character t-maximal ideals local invertibility

Cite

@article{arxiv.1001.5220,
  title  = {Star-Invertibility and $t$-finite character in Integral Domains},
  author = {Carmelo Antonio Finocchiaro and Giampaolo Picozza and Francesca Tartarone},
  journal= {arXiv preprint arXiv:1001.5220},
  year   = {2010}
}

Comments

16 pages

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

Abstract

Keywords

Cite

Comments

Related papers