CAJ | 학술논문

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:(f n(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.
Ockham 대수시일개대수(L;∧,∨, f,0,1),기중(L;∧,∨,0,1)시유계분배격, f시L상적우격자동태. GBn대수시지일개Ockham대수(L;f),타만족조건:(f n(L);f)시포이대수.타포함상견적포이대수、de Mogan대수화Stone대수.본문연구료GBn련적대수결구,병급출일개GBn 련구유주동여성질적충분여필요조건.
An Ockham algebra is an algebra (L;∧,∨, f, 0, 1) in which (L;∧,∨, 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 (f n(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 su?cient and necessary condition for those GBn-chains that have the principal congruence property.