期刊文献+

WDRL半群的理想

Ideals of Weak Dually Residuated Lattice Ordered Semigroups
下载PDF
导出
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。 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.
机构地区 江南大学理学院
出处 《江南大学学报(自然科学版)》 CAS 2009年第4期488-491,共4页 Joural of Jiangnan University (Natural Science Edition) 
关键词 WDRL半群 理想 素理想 极大理想 生成理想 WDRL-semigroups, ideal, prime ideal, maximal ideal, generated ideal
  • 相关文献

参考文献7

  • 1Swamy K L N. Dually residuated lattice ordered semigroups III [ J ]. Math Ann, 1966, 167:71-74.
  • 2LIU L Z, LI K T. R_O algebras and weak dually residuated lattice ordered semigroups [J] . Czech Math J,2006, 56:339-348.
  • 3裴道武.R_O代数中的MP滤子与同余关系.模糊系统与数学,2002,19:22-25.
  • 4张花荣,谢强军.MTL代数的蕴涵滤子与正蕴涵滤子[J].中国计量学院学报,2008,19(3):269-271. 被引量:3
  • 5LIU Lian-zhen, LI Kai-tai. Fuzzy Boolean and positive implicative filters of BL-algebras [ J ]. Fuzzy Sets Syst, 2005,152 : 333 -348.
  • 6LIU Lian-zhen, LI Kai-tai. Fuzzy implicative and Boolean filters of R_ Oalgebras [ J ]. Inform Sci, 2005,171:61-71.
  • 7XU Y, Qin K Y. On filters of lattice implication algebras [ J ]. Fuzzy Math, 1993,2:251-260.

二级参考文献6

共引文献2

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部