[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.b180635

WEAKLY PRIME IDEALS IN COMMUTATIVE SEMIGROUPS

Anderson, D.D. (Department of Mathematics The University of Iowa)
Chun, Sangmin (Da Vinci College of General Education Chung-Ang University)
Juett, Jason R. (Department of Mathematics Texas State University)

Publication Information

Bulletin of the Korean Mathematical Society / v.56, no.4, 2019 , pp. 829-839 More about this Journal

Abstract

Let S be a commutative semigroup with 0 and 1. A proper ideal P of S is weakly prime if for $a,\;b{\in}S$ , $0{\neq}ab{\in}P$ implies $a{\in}P$ or $b{\in}P$ . We investigate weakly prime ideals and related ideals of S. We also relate weakly prime principal ideals to unique factorization in commutative semigroups.

Keywords

weakly prime ideal; prime ideal; commutative semigroup;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)

Reference
Cited By KSCI

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