排序方式: 共有31条查询结果,搜索用时 15 毫秒
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On ideals and congruences in bcc-algebras 总被引:10,自引:0,他引:10
We introduce a new concept of ideals in BCC-algebras and describe connections between such ideals and congruences. 相似文献
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Antoni Torrens 《Mathematical Logic Quarterly》1994,40(4):431-444
In this paper we characterize the MV-algebras containing as subalgebras Post algebras of finitely many orders. For this we study cyclic elements in MV-algebras which are the generators of the fundamental chain of the Post algebras. Mathematics Subject Classification: 03G20, 03G25, 06D25, 06D30, 06F15, 06F35. 相似文献
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本文推广了文献中的有限BCK-代数子代数个数估计定理,给出了任意BCK-代数的子代数个数下界的一个估计。对于n阶BCK-代数和n阶半直接既约交换BCK-代数,本文分别给出了其子代数个数下界的较具体的表达公式。另处我们还讨论了互不同构的n阶BCK-代数的个数的下界值的估计问题。 相似文献
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We study Dedekind complete commutative BCK-algebras with the relative cancellation property and their connection with corresponding universal groups. We shall characterize Dedekind orthogonally complete atomic and Archimedean BCK-algebras, generalizing results of Jakubík known for MV-algebras. Finally, we characterize those Dedekind complete and atomic commutative BCK-algebras that are isomorphic to direct products of basic BCK-chains, generalizing a result of Cignoli for MV-algebras. 相似文献
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引入了BCK-代数的范数与距离的概念,给出了赋范BCK-代数的一些基本性质,证明了赋范BCK-代数的同构(同态)像和原像仍是赋范BCK-代数,研究了BCK-代数与BCK-代数笛卡儿之间的赋范性质关系.并且引入了赋范BCK-代数的点列极限概念,研究了极限的相关性质.讨论了有界赋范BCK-代数的与模糊BCK-代数的关系. 相似文献
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《International Journal of Approximate Reasoning》2014,55(8):1643-1658
The theory of fuzzy implication algebras was proposed by Professor Wangming Wu in 1990. The present paper reviews the following two aspects of studies on FI-algebras: concepts, properties and some subclasses of FI-algebras; axiomatization of the class of FI-algebras and some of its important subclasses. The main results are summarized in the current paper, the relationships between FI-algebras and several classes of important fuzzy algebras are discussed, such as BL-algebras, MTL-algebras, and residuated lattices, and propositional calculus systems of several special classes of FI-algebras are shown. 相似文献
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BCC-代数与整偏序幺半群 总被引:1,自引:0,他引:1
本文研究BCC-代数与整偏序幺半群的关系,所得结果是I.Fleischer在[2]中相应结果的推广. 相似文献
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姜豪 《浙江大学学报(理学版)》1989,16(4):374-382
本文解决了关于非交换的正关联BCK-代数的真类问题、基数问题和真子类问题。作者使用有限BCK-代数的局部分析法,确定了阶不超过5的非交换正关联BCK-代数的全部类型,讨论了C型和非C型的非交换正关联BCK-代数的有关问题。 相似文献