Some aspects of k-ideals of semirings

Amartya Goswami, Themba Dube

Research output: Contribution to journalArticlepeer-review

Abstract

The aim of this paper is to study some distinguished classes of k-ideals of semirings, which include k-prime, k-semiprime, k-radical, k-irreducible, and k-strongly irreducible ideals. We discuss some of the properties of k-ideals and their products, intersections, and ideal quotients under semiring homomorphisms.

Original languageEnglish
JournalRendiconti del Circolo Matematico di Palermo
DOIs
Publication statusAccepted/In press - 2024

Keywords

  • k-Closure operation
  • k-Ideal
  • Semiring
  • Weakly Noetherian semiring

ASJC Scopus subject areas

  • General Mathematics

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