English

On simple ringoids

Rings and Algebras 2009-10-27 v1

Abstract

A ringoid is a set with two binary operations that are linked by the distributive laws. We study special classes of ringoids that are congruence-simple or ideal-simple. In particular, we examine generalised parasemifields and non-associative semirings.

Keywords

Cite

@article{arxiv.0910.4760,
  title  = {On simple ringoids},
  author = {Jens Zumbrägel},
  journal= {arXiv preprint arXiv:0910.4760},
  year   = {2009}
}

Comments

10 pages

R2 v1 2026-06-21T14:03:05.533Z