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- Title
MAXIMAL NON-UNIVERSALLY CATENARIAN SUBRINGS OF A FIELD:: THE NON-INTEGRALLY CLOSED CASE.
- Authors
BEN NASR, MABROUK; Jain, S. K.
- Abstract
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.
- Subjects
INTEGRAL closure; COMMUTATIVE rings; RING extensions (Algebra); KRULL rings; RING theory; ALGEBRA
- Publication
Journal of Algebra & Its Applications, 2007, Vol 6, Issue 5, p867
- ISSN
0219-4988
- Publication type
Article
- DOI
10.1142/S0219498807002533