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Weak perinormality
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AI
DOI：10.1142/S0219498827501477.png)
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Abstract
En 中文
We introduce and study a new class of integral domains, referred to as weakly perinormal domains. This class strictly lies between the class of perinormal domains and the class of (R-1)-domains. Several basic properties of this new class of rings are established. We study the behavior of weak perinormality under pullbacks. More precisely, if S is an integral domain, M an arbitrary but a fixed maximal ideal of S, K = S/M and D an integral domain with quotient field K, then the weak perinormality of the pullback D xKS implies that of D and S. Throughout, we also establish generalizations of various known results concerning perinormal domains.
Keywords:
Weak perinormality
weak perinormal domains
perinormality
going-down domains
pullbacks
Journal
J
IF:
0.6
Papers:
254
Citations:
0
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