Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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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)
  • Received : 2018.07.01
  • Accepted : 2018.10.11
  • Published : 2019.07.31
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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.

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References

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