English

On Semisimple Semirings

Rings and Algebras 2019-08-02 v1 Commutative Algebra

Abstract

We investigate ideal-semisimple and congruence-semisimple semirings. We give several new characterizations of such semirings using e-projective and e-injective semimodules. We extend several characterizations of semisimple rings to (not necessarily subtractive) commutative semirings.

Keywords

Cite

@article{arxiv.1908.00516,
  title  = {On Semisimple Semirings},
  author = {Jawad Y. Abuhlail and Rangga Ganzar Noegraha},
  journal= {arXiv preprint arXiv:1908.00516},
  year   = {2019}
}

Comments

arXiv admin note: text overlap with arXiv:1904.01549

R2 v1 2026-06-23T10:37:32.428Z