无单位元的群分次环与G/H-分次模范畴  

Graded Rings without Identity and G/H-graded Module Category

作　　者：张玲萍[1] 

机构地区：[1]淮阴师范学院数学系,江苏淮安223300

出　　处：《淮阴师范学院学报（自然科学版）》2006年第1期4-9,共6页Journal of Huaiyin Teachers College;Natural Science Edition

摘　　要：设R是具有局部单位元的G-分次环,对于任意群G及其子群H K.本文研究了H/K-分次R#G/H-模范畴(H/K,R#G/H)-gr与G/K-分次R-模范畴(G/K,R)-gr的同构.当取其特殊情形K={e}时,所得结果推广了刘绍学的相关结论.Let R be a G -graded ring with local units, G be an arbitrary group, K and H are subgroups of G satisfying K belong to H belong to G, we study the isomorphism between the category （H/K, R # G/H）-gr of left R # G/H- modules graded by H/K and the category （ G/K, R）-gr of left R -modules graded by G/K. As a corollary, we extend the Theorem of Liu Shaoxue.

关 键 词：Smash积R#G/H 局部单位元 F-单位元 分次模 H-分次环 

分 类 号：O153.3[理学—数学]