Dergiler / International Electronic Journal of Algebra / 2011 / Cilt: 10 - Sayı: 10

RINGS WHOSE SEMIGROUP OF RIGHT IDEALS IS J -TRIVIAL

Henry E. Heatherly, Ralph P. Tucci

Sayfa
151–161
DOI
—

Abstract

A semigroup S is J -trivial if any two distinct elements of S must generate distinct ideals of S. We investigate this condition for the semigroup of all right ideals of a ring under right ideal multiplication. There is a rich interplay between the underlying ring and the semigroup of all of its right ideals.

RINGS WHOSE SEMIGROUP OF RIGHT IDEALS IS J -TRIVIAL — AJindex