WGP-内射环及其应用

Abstract

Abstract: We considered some properties of maximal annihilators of WGPinjective rings, and proved that: if a left WGPinjective ring R satisfied that the ascending chain l(a₁)l(a₁a₂)l(a₁a₂a₃)… consisting left annihilator were stable for arbitrary infinite element a₁,a₂,a₃,…, then R was a semiprimary ring; R was a left and right perfect ring; and R was a left and right Kasch ring. Some sufficient and necessary conditions of WGPinjective rings were given.

Key words: semisimple ring, mininjective ring, WGPinjective ring, GPinjective ring

CLC Number:

O153.3

LU Qi, BAO Hongwei. WGPInjective Rings and Their Applications[J].Journal of Jilin University Science Edition, 2018, 56(3): 556-560.

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WGPInjective Rings and Their Applications

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