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Some Characterizations of Krull Monoids.
- Source :
-
Algebra Colloquium . Sep2007, Vol. 14 Issue 3, p469-477. 9p. - Publication Year :
- 2007
-
Abstract
- In this paper, Kaplansky-type theorems are given to characterize GCD-monoids and valuation monoids. Also, (unique) r-factorable monoids are defined and it is shown that S is a Krull monoid if and only if S is a unique t-factorable (resp., w-factorable) monoid if and only if S is a t-factorable (resp., w-factorable) t-Prüfer monoid. [ABSTRACT FROM AUTHOR]
- Subjects :
- *MONOIDS
*SEMIGROUP rings
*MATHEMATICAL analysis
*GROUP theory
*ALGEBRA
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 10053867
- Volume :
- 14
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Algebra Colloquium
- Publication Type :
- Academic Journal
- Accession number :
- 25602563
- Full Text :
- https://doi.org/10.1142/S1005386707000429