吉林大学学报(理学版)2013,Vol.51Issue(4):608-612,5.DOI:10.7694/jdxblxb20130413
广义P-平坦性和广义P-内射性的一些刻画
Some Characterizations on Generalized P-Flatness and P-Injectivity
摘要
Abstract
By means of homological algebra,some equivalent characterizations were given when R was left GP-injective ring,left GPP-ring or left GPF-ring.Having introduced the notions of GP-injective dimensions and GP-flat dimensions,we proved that left GP-injective global dimension is equal to right GP-weak dimension of R under the condition that R is left P-coherent.Furthermore,some newcharacterizations of GP-injective dimensions and GP-flat dimensions were also given.关键词
GP-平坦模/GP-内射模/GP平坦维数/GP-内射维数Key words
GP-flat module/ GP-injective module/ GP-flat dimension/ GP-injective dimension分类
数理科学引用本文复制引用
王修建,杜先能..广义P-平坦性和广义P-内射性的一些刻画[J].吉林大学学报(理学版),2013,51(4):608-612,5.基金项目
国家自然科学基金(批准号:11126173). (批准号:11126173)