■-三角范畴上的n-Frobenius对  

n-Frobenius pairs in extriangulated categories

作　　者：李玲 陈文静 LI Ling;CHEN Wen-jing(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,China)

机构地区：[1]西北师范大学数学与统计学院,兰州730070

出　　处：《兰州大学学报（自然科学版）》2023年第6期817-823,共7页Journal of Lanzhou University(Natural Sciences)

基　　金：国家自然科学基金项目(11901463);甘肃省青年科技基金计划项目(20JR5RA517);西北师范大学青年教师科研能力提升计划项目(NWNU-LKQN-18-30);甘肃省高等学校创新能力提升项目(2019A-002)。

摘　　要：在■-三角范畴中引入左(右)n-Frobenius对和特殊的左(右)n-Frobenius对,研究其性质,讨论■-三角范畴中左(右)n-Frobenius对和右(左)n-余挠对之间的关系,给出■-三角范畴中特殊的左(右)nFrobenius对的一些等价刻画.The definitions of left(right) n-Frobenius pairs and special left(right) n-Frobenius pairs in extriangulated categories were introduced and their properties were studied.The relationship between left(right) n-Frobenius pairs and right(left) n-cotorsion pairs in extriangulated categories was discussed,and some equivalent characterizations of special left(right) n-Frobenius pairs in extriangulated categories were given.

关 键 词：■-三角范畴 n-余挠对 n-Frobenius对 

分 类 号：O153.3[理学—数学]