关于Star-Pr“uextension”的注释

Q3 Mathematics

International Journal of Mathematics in Operational Research Pub Date : 2023-04-05 DOI:10.5539/jmr.v15n2p66

Lokendra Paudel, S. Tchamna

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引用次数: 0

摘要

设★是环扩展R \子集S上的星形运算。如果R[p] \subseteq S是R的每一个★素数理想p的一个★-Pr - ufer扩展，则R \subseteq S是一个★-Pr - ufer扩展。我们研究了★-Pr - ufer扩展的性质。特别地，我们研究了多项式环的star-Pr´ufer性质从扩展R \subseteq S到扩展R[X] \subseteq S [X]的转移，其中X是S上的不定式。

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A Note on Star-Pr"ufer Extensions

Let ★ be a star operation on a ring extension R \subseteq S . The ring extension R \subseteq S is said to be a ★-Pr¨ufer if R[p] \subseteq S is a Pr¨ufer extension for each ★-prime ideal p of R. We study properties of ★-Pr¨ufer extensions. In particular, we investigate the transfer of star-Pr¨ufer properties from the extension R \subseteq S to the extension R[X] \subseteq S [X] of polynomial rings, where X is an indeterminate over S .

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来源期刊

International Journal of Mathematics in Operational Research Decision Sciences-Decision Sciences (all)

CiteScore

2.10

自引率

0.00%

发文量