保持一些语言的同态映射（英文）  

Preserving some languages′ homomorphisms

作　　者：徐颖吾[1] 刘莉[2] 

机构地区：[1]西安工程大学理学院,陕西西安710048 [2]延安大学数学与计算机科学学院,陕西延安716000

出　　处：《纺织高校基础科学学报》2015年第3期299-302,共4页Basic Sciences Journal of Textile Universities

基　　金：Supported by National Natural Science Foundation of China(11226038);Specialized Research Fund of Education Department of Shaanxi Provincial Government(11JK0499)

摘　　要：为得到保持左稠密语言、稳定语言及纯语言的同态映射的条件,设h:X*→X*是一同态映射,则有以下结果:(1)h保持左稠密语言的充要条件是h(X*)是左稠密语言;(2)若h(X)是内缀码,则h保持稳定语言和左酉;(3)若h保持不可数语言,则h是单射且h(X)是纯语言;(4)若h(X)是逗号自由码,则h保持非常纯语言.这些结果进一步完善了保持语言的同态映射的研究.In order to investigate homomorphisms which preserve left-dense languages,stable languages,pure languages and so on,let h:X*→X*be a homomorphism,and the following results can be obtained:(1)hpreserves left-dense languages if and only if h(X*)is a left-dense language;(2)If h(X)is an infix code,then hpreserves stable languages and left unitary;(3)If hpreserves noncounting languages,then his an injective and h(X)is a pure language;(4)If h(X)is a comma-free code,then hpreserves very pure languages.That is useful for homomorphisms which preserves languages.

关 键 词：同态映射 稳定语言 内缀码 纯语言 逗号自由码 

分 类 号：O153[理学—数学]