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ON MAXIMAL NON-UNIVERSALLY CATENARIAN SUBRINGS.
- Source :
-
Journal of Algebra & Its Applications . Oct2008, Vol. 7 Issue 5, p553-556. 4p. - Publication Year :
- 2008
-
Abstract
- An integral domain R with field of fractions K is called a maximal non-1-catenarian subring of K if the polynomial ring in one variable, R[X] is not catenarian and for each proper intermediate ring T (that is each ring T such that R ⊂ T ⊆ K) T[X] is catenarian. The main purpose of this paper is to prove that the concept of maximal non-1-catenarian subrings and that of maximal non-universally catenarian subrings are equivalent. [ABSTRACT FROM AUTHOR]
- Subjects :
- *INTEGRAL domains
*POLYNOMIAL rings
*RING theory
*ALGEBRA
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 02194988
- Volume :
- 7
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra & Its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 34852418
- Full Text :
- https://doi.org/10.1142/S021949880800293X