投射余分解Gorenstein平坦复形  

Projectively coresolved Gorenstein flat complexes

作　　者：吴德军[1] 赵自红 WU De-jun;ZHAO Zi-hong(School of Science, Lanzhou Univ. of Tech., Lanzhou 730050, China)

机构地区：[1]兰州理工大学理学院,甘肃兰州730050

出　　处：《兰州理工大学学报》2020年第6期153-158,共6页Journal of Lanzhou University of Technology

基　　金：国家自然科学基金(11761047)。

摘　　要：引入了投射余分解Gorenstein平坦复形的概念.证明了对任意结合环R,G是投射余分解Gorenstein平坦复形当且仅当每个层次的R-模Gm是投射余分解Gorenstein平坦模,其中■m∈Z.同时研究了投射余分解Gorenstein平坦复形的基本性质,并探讨了复形G的投射余分解Gorenstein平坦维数与每个层次的R-模Gm的投射余分解Gorenstein平坦维数的关系.The concept of projectively coresolved Gorenstein flat complex is introduced.Over an arbitrary associate ring R,it is proven that G is a projectively coresolved Gorenstein flat complex if and only if each R-module Gm is a projective coresolved Gorenstein flat module for all m∈Z.Meanwhile,basic properties of projectively coresolved Gorenstein flat complexes are studied,and the relationship between projectively coresolved Gorenstein flat dimension of complex G and projectively coresolved Gorenstein flat dimension of each R-module Gm is discussed.

关 键 词：PGF-复形 预包络 投射复形 

分 类 号：O154.2[理学—数学]