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n-P-投射模与强-P-投射模

乔虎生 汪涛

西北师范大学学报(自然科学版)2013,Vol.49Issue(2):23-27,5.
西北师范大学学报(自然科学版)2013,Vol.49Issue(2):23-27,5.

n-P-投射模与强-P-投射模

n-P-projective modules and strongly-P-projective modules

乔虎生 1汪涛1

作者信息

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摘要

Abstract

Let R be any ring. The concepts of n-P-protective modules and strongly-P-projective modules are introduced. It is shown that M is n-P-projective module if and only if M is a cokernel of a Pn-preenvelope f:A→B with B protective; if R is a left coherent and right perfect ring, then (PP,PP⊥ ) is a perfect cotorsion theory, and (SPP,SPP⊥) is a perfect hereditary cotorsion theory, where PP denotes the class of all P-projective modules, and SPP denotes the class of all strongly-P-projective modules.

关键词

n-P-投射模/强P-投射模/(预)包络/余挠理论

Key words

n-P-projective module/ strongly-P-projective module/ (pre)envelope/ cotorsion theory

分类

数理科学

引用本文复制引用

乔虎生,汪涛..n-P-投射模与强-P-投射模[J].西北师范大学学报(自然科学版),2013,49(2):23-27,5.

基金项目

国家自然科学基金资助项目(10901129) (10901129)

教育部博士点专项科研基金资助项目(20096203120001) (20096203120001)

西北师范大学学报(自然科学版)

OA北大核心CSTPCD

1001-988X

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