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单的非负有序关联半群
引用本文:曾庆怡.单的非负有序关联半群[J].纯粹数学与应用数学,2011,27(1):75-80.
作者姓名:曾庆怡
作者单位:韶关学院数学与信息科学学院,广东,韶关,512005
摘    要:一个负有序关联半群(S,≤,.,*)称为单的关联半群,如果S的所有滤子是{1}和S本身.对负有序关联半群是单的关联半群进行了刻画,给出了一个负的关联半群是单的关联半群的等价条件.

关 键 词:单性  关联半群  有序滤子

Simple negatively ordered implicative semigroups
ZENG Qing-yi.Simple negatively ordered implicative semigroups[J].Pure and Applied Mathematics,2011,27(1):75-80.
Authors:ZENG Qing-yi
Institution:ZENG Qing-yi(Department of Mathematics,Shaoguan University,Shaogunan 512005,China)
Abstract:A negatively ordered implicative semigroup(S,≤,·,*)is called simple if all ordered filters of S are{1} and S itself. Negatively ordered implicative semigroups being simple are characterized in this paper and some conditions of a negatively ordered implicative semigroups being simple have been given.
Keywords:simple  implicative semigroups  ordered filters
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