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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
Journal of Algebra and Its Applications ( IF 0.5 ) Pub Date : 2020-12-22 , DOI: 10.1142/s0219498822500505 Ahmed Ayache 1
Affiliation
An overring R o of an integral domain R is said to be comparable if R o ≠ R , R o ≠ q f ( R ) , and each overring of R is comparable to R o 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R ○ ≠ R ,R ○ ≠ q F ( 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 ¯ 的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
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