From an algebraic point of view, semirings provide the most natural generalization of group
theory and ring theory. In the absence of additive inverses, one has to impose some weaker …

Semirings are studied either in their own right, in an attempt to broaden techniques coming
from semigroup theory or generalization of group theory and ring theory or in connection …

Semirings have been studied by various researchers either in an attempt to broaden the
techniques coming from semigroup theory or generalization of group theory and ring theory …

From an algebraic point of view, semirings provide the most natural generalizations of the
theory of rings. In this paper, the ring theoretic results of [8] concerning the primary ideals …

Let R be a ring in which the multiplicative semigroup is completely semisimple. If R has the
maximum (respectively, minimum) condition on principal multiplicative ideals. then R is …

D-semisimple, then R is D-semisimple, too. The aim of this paper is to obtain an analogous
result for rings graded by inverse semigroups. A semigroup S is said to be inerse if for every …

Prime and weakly prime ideals in semirings 1. Introduction 2. Weakly prime ideals Page 1
Quasigroups and Related Systems 20 (2012), 197 − 202 Prime and weakly prime ideals in …

Semigroup theory can be considered as one of the more successful offsprings of ring theory.
The relationship of these two theories has been a subject of particular attention only within …

Regular semirings Page 1 Semigroup Forum Vol. 23 (1981) 119-136 RESEARCH ARTICLE
REGULAR SEMIRINGS John Zeleznekow Communicated by G. Lallement i. INTRODUCTION …

The set of elements of an (associative) ring under multiplication form a semigroup, but not
every semigroup is isomorphic to the multiplicative structure of a ring. The class of all …