Affiliation:
1. Department of Mathematics Education, Incheon National University, Incheon 22012, Republic of Korea
2. Department of Mathematics Education, Chosun University, Gwangju 61452, Republic of Korea
Abstract
Let [Formula: see text] be an integral domain, [Formula: see text] be a nonzero torsionless commutative cancellative monoid with quotient group [Formula: see text], and [Formula: see text] be the semigroup ring of [Formula: see text] over [Formula: see text]. In this paper, among other things, we show that if [Formula: see text] (respectively, [Formula: see text], then [Formula: see text] is a weakly factorial domain if and only if [Formula: see text] is a weakly factorial GCD-domain, [Formula: see text] is a weakly factorial GCD-semigroup, and [Formula: see text] is of type [Formula: see text] (respectively, [Formula: see text] except [Formula: see text]).
Publisher
World Scientific Pub Co Pte Lt
Cited by
4 articles.
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