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首页> 外文期刊>Journal of algebra and its applications >When is a fixed ring comparable to all overrings?
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When is a fixed ring comparable to all overrings?

机译:When is a fixed ring comparable to all overrings?

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摘要

An overring Ro of an integral domain R is said to be comparable if R-o not equal R, R-o not equal qf(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) over bar of R is a comparable overring, or also when each chain of distinct overrings of R is finite.

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