吉林大学学报(理学版)2025,Vol.63Issue(6):1593-1597,5.DOI:10.13413/j.cnki.jdxblxb.2025102
n-Tor-对
n-Tor-Pairs
摘要
Abstract
Let n be a positive integer and R be an associative ring with identity.Firstly,the definition of n-Tor-pair over the ring R is introduced.Secondly,some properties of n-Tor-pairs are given,and hereditary n-Tor-pairs are discussed.Finally,the equivalent characterization of the direct product of modules in x having finite x-projective dimension is given when(x,y)is an n-Tor-pair.关键词
n-Tor-对/遗传的n-Tor-对/x-投射维数Key words
n-Tor-pair/hereditary n-Tor-pair/x-projective dimension分类
数理科学引用本文复制引用
张俊杰,陈文静..n-Tor-对[J].吉林大学学报(理学版),2025,63(6):1593-1597,5.基金项目
国家自然科学基金(批准号:11901463 ()
12361007)和甘肃省青年科技基金计划项目(批准号:20JR5RA517). (批准号:20JR5RA517)