广义拟P-内射模的性质

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Some Properties on Generalization QuasiP-injective Modules

ZHAO Yue¹, CHEN Zhengxin²

1. College of Mathematics, Qingdao University, Qingdao 266071, Shandong Province, China;2. College of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350007, China

Received:2008-04-06 Revised:1900-01-01 Online:2009-03-26 Published:2009-03-26

Abstract

Abstract: We combined the known properties of quasi AP-injective modules with the way of studying quasi P-injective modules to give some new properties on quasi APinjective module. For example: Suppose M_R(S=End(M_R)) is quasi AP-injective, then: (1) Sis a right weakly C₂ ring; (2) if for any nonempty set XM, L_s(X)is generated by an idempotent, and Sis local, left duo, then S_s is continuious.

Key words: AP-injective rings, quasi AP-injective module, quasi AGP-injective module, selfgenerator

CLC Number:

O153.3

ZHAO Yue, CHEN Zhengxin. Some Properties on Generalization QuasiP-injective Modules[J].J4, 2009, 47(02): 197-200.

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Some Properties on Generalization QuasiP-injective Modules

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