nil−INJECTIVE RINGS

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.

Keywords:

Left minimal elements, left min-abel rings, strongly left min-abel rings, left MC2 rings simple singular modules, left nil−injective modules,

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School of Mathematics Science, Yangzhou University,
Yangzhou,225002, Jiangsu, P. R. China
E-mail:*jcweiyz@yahoo.com.cn,**cjh_m@yahoo.com.cn

International Electronic Journal of Algebra-Cover

ISSN: 1306-6048
Yayın Aralığı: Yılda 2 Sayı
Başlangıç: 2007
Yayıncı: Abdullah HARMANCI

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