Title :
Weakly JP-injective rings
Author_Institution :
Dept. of Math., Jiaxing Univ., Jiaxing, China
Abstract :
A ring R is called right weakly JP-injective (or WJP-injective for short), if, for any 0 ≠ a ∈ J(R), there exists b ∈ R such that ab = ba ≠ 0 and any right R-homomorphism from abR to R extends to an endomorphism of R. In this paper,several properties of these rings are given, right weakly JP-injective rings satisfying some additional conditions are investigated, some interesting results are obtained.
Keywords :
geometry; set theory; R-homomorphism; WJP; weakly JP-injective rings; Algebra; Argon; Contracts; Polynomials; Strontium; Zirconium; 16L30; 16L60; 16P40; Kasch ring; Semiperfect ring; WJP-injective ring; noetherian ring 2010 Mathematics subject classification:16D50; semilocal ring;
Conference_Titel :
Multimedia Technology (ICMT), 2011 International Conference on
Conference_Location :
Hangzhou
Print_ISBN :
978-1-61284-771-9
DOI :
10.1109/ICMT.2011.6001707
