Details

Autor(en) / Beteiligte

• Zhu, Zhanmin

Titel

Almost JGP-Injective Rings and Semipritive Rings

Ist Teil von

• Procedia engineering, 2012, Vol.29, p.1697-1701

Ort / Verlag

Elsevier Ltd

Erscheinungsjahr

2012

Link zum Volltext

Quelle

Elsevier ScienceDirect Journals Complete

Beschreibungen/Notizen

• A ring R is called right almost JGP-injective or right AJGP-injective for short, if for any 0aJ(R), there exist a positive integer n such that an0 and R an is a direct summand of lr(an). A right R-module M is called right JGP-injective if for any 0aJ(R), there exists a positive integer n such that an0 and any Rhomomorphism from anR to M extends to a homomorphism of R to M. In this Article, we investigate the properties of right AJGP-injective rings, and characterize semiprimitive rings by AJGP-injective rings and JGP-injective modules.