弱挠自由Rees商序S-系的同调分类  

On homological classification of weakly torsion free Rees factor S-posets

作　　者：乔虎生 石学勤 QIAO Hu-sheng;SHI Xue-qin(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,Gansu,Chin)

机构地区：[1]西北师范大学数学与统计学院,甘肃兰州730070

出　　处：《山东大学学报（理学版）》2018年第8期49-52,共4页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(11461060);甘肃省高校基本科研业务费

摘　　要：给出了所有弱挠自由Rees商序S-系具有某种平坦性质的序幺半群刻画,解决了弱挠自由Rees商序S-系的同调分类问题。作为应用,给出了挠自由以及序挠自由Rees商系的同调分类。The characterization of pomonoids over which all weakly torsion free Rees factor S-posets have some kind of flatness is given,and the homological classification problem of weakly torsion free Rees factor S-posets are obtained. As applications,the homological classification of torsion free and po-torsion free Rees factor S-posets are got.

关 键 词：弱挠自由 Rees商序S-系 WTF右理想 

分 类 号：O152.7[理学—数学]