浙江大学学报（理学版）2009，Vol.36Issue(3)：249-253,5.DOI:10.3785/j.issn.1008-9497.2009.03.002
关于右GP-V-环
On right GP-V-rings
杨春兰1
作者信息
- 1. 浙江中医药大学,浙江,杭州,310053
- 折叠
摘要
Abstract
GP-V-ring(GP-V-module) is studied which is a generalization of P-V-ring (P-V-module),and the characters are searched for.For example,if R is a right GP-V-ring,then for any maximal subideal K of a principal right ideal U=aR,a∈R,there exists a maximal right ideal H of R that H∩anR=K∩anR,for some n∈Z+;Every principal right ideal of a right GP-V-ring is idempotent,any direct summand of a right GP-V-ring is again a right GP-V-ring and so on.Furthermore,the question when a GP-V-ring is Von Neumann regular is discussed in the remainder.关键词
GP-V-环/GP-内射/Von Neumann正则环Key words
GP-V-ring/GP-injective/Von Neumann regular分类
数理科学引用本文复制引用
杨春兰..关于右GP-V-环[J].浙江大学学报（理学版）,2009,36(3):249-253,5.
