WEAKLY PRIME IDEALS IN COMMUTATIVE SEMIGROUPS

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초록

Let S be a commutative semigroup with 0 and 1. A proper ideal P of S is weakly prime if for a, b is an element of S, 0 not equal ab is an element of P implies a is an element of P or b is an element of P. We investigate weakly prime ideals and related ideals of S. We also relate weakly prime principal ideals to unique factorization in commutative semigroups.

키워드

weakly prime idealprime idealcommutative semigroupRINGS
제목
WEAKLY PRIME IDEALS IN COMMUTATIVE SEMIGROUPS
저자
Anderson, D. D.Chun, SangminJuett, Jason R.
DOI
10.4134/BKMS.b180635
발행일
2019-07
유형
Article
저널명
대한수학회보
56
4
페이지
829 ~ 839