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WDRL半群的理想
引用本文:陈晓娟,刘练珍.WDRL半群的理想[J].江南大学学报(自然科学版),2009,8(4):488-491.
作者姓名:陈晓娟  刘练珍
作者单位:江南大学,理学院,江苏,无锡,214122
摘    要:在DRL半群理想的基础上给出WDRL半群理想的定义及其等价定义,探讨了WDRL半群的几类理想,给出了素理想、极大理想及生成理想的定义,并研究了各类理想的性质及相互间的关系.用理想来研究逻辑代数,丰富了WDRL半群的内容.

关 键 词:WDRL半群  理想  素理想  极大理想  生成理想

Ideals of Weak Dually Residuated Lattice Ordered Semigroups
CHEN Xiao-juan,LIU Lian-zhen.Ideals of Weak Dually Residuated Lattice Ordered Semigroups[J].Journal of Southern Yangtze University:Natural Science Edition,2009,8(4):488-491.
Authors:CHEN Xiao-juan  LIU Lian-zhen
Institution:School of Science;Jiangnan University;Wuxi 214122;China
Abstract:In the paper,in the ideals of DRL-Semigroups foundation,the definition of ideals of WDRL-semigroups and equal form were introduced.Several kinds of ideals of WDRL-Semigroups were studied: the prime ideals,maximal ideals and generated ideals.Furthermore,their relations and properties were discussed.The content of WDRL-Semigroups was enriched by the study of logic algebras with ideals.
Keywords:WDRL-semigroups  ideal  prime ideal  maximal ideal  generated ideal  
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