格序环的L同态  

Homomorphisms of L-Rings

作　　者：谭志杭[1] 程国胜[2] 

机构地区：[1]安徽机电学院 [2]淮北煤炭师范学院

出　　处：《淮北煤师院学报（自然科学版）》1993年第2期12-14,共3页Journal of Huaibei Teachers College(Natural Sciences Edition)

摘　　要：基本同态定理是代数系中的重要定理之一,文[1](Th1.2)将群的基本同态定理推广到格序群(L-群)中,本文将它推广到格序环(L-环)与格序模(L-模)中.In this paper, we generalize into l-rings for basic homomorphism theorem of 1-groups[1]and prorve: Let ρbe an l-homomorphism from l-ring G onto l-ring H, then(a)The kernel Ker(ρ)of ρ is an 1 -ideal(b)If N is an l-ideal of G, then the set of right cosets G/N can be provided with an order which makes it an l-ring, so that the natural map v:G→G/N is an l-homorphism, (c)G/Ker(ρ) is l-isomorphic to H.

关 键 词：L-群 L-环 L-模 L-理想 格序环 

分 类 号：O153.3[理学—数学]