COMPLETELY INTEGRALLY CLOSED MODULES AND RINGS

摘要

A ring A is a completely integrally closed right A-module if and only if the maximal right ring of quotients Q_(max)(A) of A is an injective right .A-module and A is a right completely integrally closed subring in Q_(max)(A). A right Noetherian, right integrally closed ring A is a completely integrally closed right A-module.