论文信息 - Maximal Non-Noetherian Subrings of a Domain☆

Maximal Non-Noetherian Subrings of a Domain☆

Abstract The main purpose of this paper is to study maximal non-Noetherian subrings R of a domain S . We give characterizations of such domains in several cases. If the ring R is semi-local, ( R , S ) is a residually algebraic pair and R is a maximal non-Noetherian subring of S , we give sharp upper bounds for the number of rings and the length of chains of rings in [ R , S] , the set of intermediary rings.

N. Jarboui | A. Ayache

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