Original Articles

Maximal Ideals in Near-Rings And Semigroups

Published in: Quaestiones Mathematicae
Volume 25 , issue 2 , 2002 , pages: 259–268

DOI: 10.2989/16073600209486013

Author(s): HenryE. Heatherly , RalphP. Tucci

Keywords: NEAR-RING , SEMIGROUP , IDEAL , MAXIMAL , IDEMPOTENT

Abstract

This paper gives conditions that guarantee that a near-ring or a semi- group has maximal right, left, or two-sided ideals. Stronger results are obtained for those semigroups which are adjoint semigroups of rings. Examples are given which illustrate and delimit the theory developed.

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