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3 results on '"Myeong Og Kim"'

1. Krull Modules

Author

Hwankoo Kim and Myeong Og Kim

Subjects
Algebra and Number Theory, Applied Mathematics
Abstract

In this article, we generalize the concepts of several classes of domains (which are related to Krull domains) to torsion-free modules, and show that for a faithful multiplication module M over an integral domain R, M is a Krull module if and only if R is a Krull domain. Then we characterize Krull, Dedekind, and factorial modules.

Published
2013

2. Some Characterizations of Krull Monoids

Author

Myeong Og Kim, Young Soo Park, and Hwankoo Kim

Subjects
Monoid, Valuation (logic), Combinatorics, Algebra and Number Theory, Mathematics::Commutative Algebra, If and only if, Mathematics::Category Theory, Applied Mathematics, Free monoid, Syntactic monoid, Mathematics, Trace theory
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.

Published
2007

3. Some Characterizations of Krull Monoids.

Author

Hwankoo Kim, Myeong Og Kim, Young Soo Park, and Shum, K. P.

Subjects
*MONOIDS, *SEMIGROUP rings, *MATHEMATICAL analysis, *GROUP theory, *ALGEBRA, *MATHEMATICS
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]

Published
2007
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