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Maximal non-universally catenarian subrings of a field. The non-integrally closed case

机译:字段的最大非普遍的连环子环。非整体封闭案例

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摘要

In this paper, we deal with the study of maximal non-universally catenarian subrings (that is a non-universally catenarian subring R of a domain S such that any subring of S that properly contains R is universally catenarian). Several satisfactory results are given, and for S a field and R not integrally closed, we characterize these domains.
机译:在本文中,我们研究了最大的非通用链环(即域S的R的非通用链环),使得任何适当包含R的S的子环都是通用链环。给出了几个令人满意的结果,并且对于S a字段和R并非整体封闭,我们对这些域进行了表征。

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