Main Article Content
Maximal ideals in near-rings and semigroups
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.
Mathematics Subject
Classification (2000):
16Y30, 20M12, 16N20
Key words: Near-ring; semigroup;
ideal; maximal; idempotent
Quaestiones
Mathematicae 25 (2002), 259-268
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.
Mathematics Subject
Classification (2000):
16Y30, 20M12, 16N20
Key words: Near-ring; semigroup;
ideal; maximal; idempotent
Quaestiones
Mathematicae 25 (2002), 259-268
