有1模格的几个等价定义  

A Few Equivalent Definitions of Modular Lattices with Unit Element

作　　者：吴妙玲[1] 张昆龙[1] 

机构地区：[1]内蒙古大学数学系,呼和浩特010021

出　　处：《内蒙古大学学报（自然科学版）》2005年第3期241-243,共3页Journal of Inner Mongolia University：Natural Science Edition

基　　金：国家自然科学基金(10261003);内蒙古自治区自然科学基金(200208020103)

摘　　要：对具有单位元的模格,给出三种等价定义,并根据模格所满足的幂等律、交换律、结合律、吸收律和模律,证明了有1模格各种定义之间的等价性.For a modular lattice with unit element,three equivalent definitions were introduced.According to the idempotency,commutativity,associativity,absorption identities and modular law of modular lattices,the equivalency among the various definitions of modular lattices with unit element was proved.

关 键 词：模格 单位元 等价性 

分 类 号：O153[理学—数学]