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MS-代数的理想和同余关系 总被引:3,自引:1,他引:2
王尊全 《纯粹数学与应用数学》2004,20(4):389-392
给出了MS-代数L的理想I=(d]可以成为某个同余关系核的充要条件;分别给出了以L的理想I=(d]为核的最小同余关系及最大同余关系的充要条件. 相似文献
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51.IntroductionThestudyofOckhamalgebraswasinitiatedbyJ-Berman[1j.AnOckhamalgebrasisanalgebra(L;V,A,O,1)oftype(2,2,1,o,o)where(L;V,AlO,1)isadistributivelatticeandfisadualendormorphism;thatis,theequationsf(o)=lf(1)=of(xVY)=f(x)Af(y),f(xAy)=f(x)Vf(x)holdidentically.AnMS-algebraisanOckhama1gebra(LiV,A,', ,o,1)whichsatisfiesthecondition:(aeL)aSa'-AnOckhamalgebrawhichsatifiesthecondictiona2P(a)willbecalledadualMS-algebraandtheunaryoperationdenotedby .AdoubleMS-algebraisanalgebra(L;V,A,… 相似文献
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Fang Jie 《数学学报(英文版)》1998,14(1):99-104
Here we show that there exists a greatest fixed point separating congruence denoted by Ψ on a double MS-algebra (L;0, +). Some properties of Ψ under certain conditions on fixed point complete and fixed point distributive have also been described.
An aid research grant from the State Education Commission of China is gratefully acknowledged 相似文献
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罗从文 《数学物理学报(B辑英文版)》2008,28(2):315-320
In this article, for any a in the MS-algebra L, the author considers the con- gruence of the form defined by (x,y) ∈θa→←x∧a°° = y ∧a° and x ∨ a°° = y ∨ a°°. A characterization of subdirectly irreducible MS-algebras is given and it is also proved that the union of two principal congruences having this form is a principal congruence if and only if L ∈ K2 ∨ K3. 相似文献
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在伪补MS-代数上引入余核滤子和完全滤子的概念,研究伪补MS-代数的余核滤子和完全滤子的性质,获得了余核滤子和完全滤子生成的同余关系的表达式,证明了具有余核滤子的最小同余关系有同余一致性. 相似文献
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KERNEL IDEALS AND CONGRUENCES ON MS-ALGEBRAS 总被引:1,自引:0,他引:1
In this article, the authors describe the largest congruence induced by a kernel ideal of an MS-algebra and characterize those MS-algebras on which all the congruences are in a one-to-one correspondence with the kernel ideals. 相似文献
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罗从文 《数学物理学报(B辑英文版)》2011,31(3):1113-1122
Algebras whose congruences are permutable were investigated by a number of authors in the literature. In this paper, we study the symmetric extended MS-algebras whose congruences are permutable. Some results obtained by Jie Fang on symmetric extended De Morgan algebras are generalized. 相似文献
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本文研究了伪补MS-代数的同余关系.利用正则滤子和伪补代数的对偶窄间理论,得到了正则滤子所生成的同余关系的性质以及同余可换的伪补MS-代数类,从而推广了文献[9]的结果. 相似文献
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