Dergiler / International Electronic Journal of Algebra / 2007 / Cilt: 2 - Sayı: 2

nil−INJECTIVE RINGS

nil−INJECTIVE RINGS

Jun-chao WEİ, Jian-hua CHEN

Sayfa
1–21
DOI
—

Abstract

A ring R is called left nil-injective if every R-homomorphism from a principal left ideal which is generated by a nilpotent element to R is a right multiplication by an element of R. In this paper, we first introduce and characterize a left nil-injective ring, which is a proper generalization of left p-injective ring. Next, various properties of left nil-injective rings are developed, many of them extend known results.