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arXiv 1001.5220math.ACmath.RA
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整环上的星可逆性与$t$有限character

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

Carmelo Antonio Finocchiaro, Giampaolo Picozza, Francesca Tartarone

摘要:

设$A$是一个整环.研究了$A$的整理想族的新条件,得到了$A$具有$t$ -有限特征标(即,$A$的每个非零元素包含在多个$t$ -极大理想中)。我们还研究了与理想的局部可逆性有关的问题。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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