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GB_n链的主同余性质

Principal congruences on GB_n chains
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摘要 Ockham代数是一个代数(L;∧,∨,f,0,1),其中(L;∧,∨,0,1)是有界分配格,f是L上的偶格自同态.GBn代数是指一个Ockham代数(L;f),它满足条件:(fn(L);f)是布尔代数.它包含常见的布尔代数、de Mogan代数和Stone代数.本文研究了GBn链的代数结构,并给出一个GBn链具有主同余性质的充分与必要条件. An Ockham algebra is an algebra （L; A, V, f, 0, 1） in which （L; A, V, 0, 1） is a bounded distributive lattice and f is a dual lattice endomorphism on L. A GBn-algebra is an Ockham algebra （L; f） with the property that （fn（L）; f） is a Boolean algebra, including the Boolean algebra, de Morgan algebra and Stone algebra. In this paper we shall investigate the algebraic structure of GBn-chains, and give the sufficient and necessary condition for those GBn-chains that have the principal congruence property.
作者 孙中举 方捷
机构地区 广东技术师范学院计算机科学学院
出处 《纯粹数学与应用数学》 CSCD 2012年第6期779-791,共13页 Pure and Applied Mathematics
基金 国家自然科学基金(11261021)
关键词 GBn代数 主同余 链 GBn algebras, principal congruences, chain
分类号 O153 [理学—基础数学]
  • 相关文献

参考文献10

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二级参考文献14

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纯粹数学与应用数学
2012年 第6期

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