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格上零模及其性质
引用本文:李伟才,覃锋,易志洪. 格上零模及其性质[J]. 南阳师范学院学报, 2007, 6(9): 1-4
作者姓名:李伟才  覃锋  易志洪
作者单位:江西师范大学,数学与信息科学学院,江西,南昌,330022
基金项目:国家自然科学基金;江西省自然科学基金
摘    要:引入格上零模概念,讨论了格上零模的性质,给出了其构造方法,最后研究了一类特殊的格上零模——乘积格上零模,讨论了其性质,给出了其构造方法.

关 键 词:格上三角模  格上三角余模  格上零模  零元
文章编号:1671-6132(2007)09-0001-04
修稿时间:2007-04-28

Nullnorms on lattices and its properties
LI Wei-cai,QIN Feng,YI Zhi-hong. Nullnorms on lattices and its properties[J]. Journal of Nanyang Teachers College, 2007, 6(9): 1-4
Authors:LI Wei-cai  QIN Feng  YI Zhi-hong
Affiliation:College of Mathematics and Information Science, Jiangxi Normal University, Nanchang 330022, China
Abstract:In this paper,the concepts of nullnorms on lattices are introduced.Then the properties of nullnorms on lattices are discussed,and the general methods of structuring nullnorms on lattices are given.Finally,nullnorms on product lattice,which is the special nullnorms on lattices,are studied.The properties of nullnorms on product lattices are discussed,and the general methods of structuring nullnorms on product lattice are given.
Keywords:t-norms on lattices  t-conorms on lattices  nullnorms on lattices  zero element
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