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When is a fixed ring comparable to all overrings?
Journal of Algebra and Its Applications ( IF 0.5 ) Pub Date : 2020-12-22 , DOI: 10.1142/s0219498822500505
Ahmed Ayache 1
Affiliation  

An overring Ro of an integral domain R is said to be comparable if RoR, Roqf(R), and each overring of R is comparable to Ro under inclusion. We do provide necessary and sufficient conditions for which R has a comparable overring. Several consequences are derived, specially for minimal overrings, or in the case where the integral closure R¯ of R is a comparable overring, or also when each chain of distinct overrings of R is finite.

中文翻译:

什么时候固定环可以与所有覆盖环相媲美?

一个过度R积分域的R据说是可比的,如果RR,RqF(R),并且每个覆盖R相当于R纳入下。我们确实提供了必要和充分条件R具有可比的覆盖率。导出了几个结果,特别是对于最小的overrings,或者在积分闭包的情况下R¯R是一个可比较的覆盖,或者当每个不同的覆盖链R是有限的。
更新日期:2020-12-22
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