节点文献
■-三角范畴上的n-Frobenius对
n-Frobenius pairs in extriangulated categories
【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.
【Abstract】 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;
【Key words】 extriangulated category; n-cotorsion pair; n-Frobenius pair;
【Key words】 extriangulated category; n-cotorsion pair; n-Frobenius pair;
【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)
- 【文献出处】 兰州大学学报(自然科学版) ,Journal of Lanzhou University(Natural Sciences) , 编辑部邮箱 ,2023年06期
- 【分类号】O154.1
- 【下载频次】12