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格效应代数的理想与同态

刘龙飞

宁夏大学学报(自然科学版)2011,Vol.32Issue(3):202-204,207,4.
宁夏大学学报(自然科学版)2011,Vol.32Issue(3):202-204,207,4.

格效应代数的理想与同态

Ideals and Homomorphisms in Lattice Effect Algebra

刘龙飞1

作者信息

  • 1. 渭南师范学院教务处,陕西渭南 714000
  • 折叠

摘要

Abstract

In this paper, some examples of lattice effect algebras are listed and discussed. It is proved that effect algebra ideals and lattice ideals in a lattice effect algebra are consistent if and only if they are both kernel of some homomorphism. Especially, the image of a monomorphism is a sub-effect algebra. It is obtained that the proper ideal of a generalized effect algebra is a sub-generalized effect algebra, and vice versa.

关键词

格效应代数/理想/同态/广义效应代数

Key words

lattice effect algebra/ ideals/ homomorphisms/ generalized effect algebra

分类

数理科学

引用本文复制引用

刘龙飞..格效应代数的理想与同态[J].宁夏大学学报(自然科学版),2011,32(3):202-204,207,4.

基金项目

陕西省教育厅专项基金资助项目(2010JK538) (2010JK538)

渭南师范学院科研基金资助项目(11YKZ052) (11YKZ052)

宁夏大学学报(自然科学版)

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