共查询到18条相似文献,搜索用时 62 毫秒
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在半伪补MS-代数上引入余核滤子,正则滤子和p-滤子的概念,研究了半伪补MS-代数上余核滤子,正则滤子和p-滤子的性质及关系,获得了余核p-滤子生成的同余关系的表达式,论证了余核p-滤子同余关系具有同余一致与同余凝聚性质。 相似文献
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《数学的实践与认识》2020,(13)
正则滤子是刻画代数结构的工具,借助正则滤子同余关系有助于了解代数的内部结构.首先在双重半伪补MS代数上,引入正则滤子的概念,结合双重半伪补MS代数的运算属性,构造出具有正则滤子的最大同余关系;其次,利用双重半伪补MS代数具有正则滤子最小同余关系表达式,给出了具有正则滤子的最小同余关系与最大同余关系的等式关系.所得结论为其它分配格代数类正则滤子性质的研究提供了方法,丰富了分配格理论,为进一步研究分配格代数类的代数结构提供理论支持. 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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赵秀兰 《数学的实践与认识》2018,(13)
在双重半伪补MS代数上引入余核滤子的概念,构造了余核滤子同余关系表达式,获得了余核滤子判别定理.根据双重半伪补MS代数的运算特征及主同余表示理论,获得了余核滤子同余关系的若干等价表达式并证明了双重半伪补MS代数余核滤子与其同余关系是同构的.所得结论为Ockham代数类余核滤子性质的研究提供了方法,丰富了序代数结构理论. 相似文献
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本提出伪补MS-代数(简称PMS-代数)中正则理想、正则同余关系的概念。研究正则理想与核理想、0-理想之间的关系,讨论正则同余关系的性质,得到若干结果. 相似文献
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本文提出伪补 M S 代数(简称 P M S 代数)中正则理想、正则同余关系的概念,研究正则理想与核理想、0 理想之间的关系,讨论正则同余关系的性质,得到若干结果 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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介绍了双重伪补代数的假值理想和假值同余的概念,并刻画了它们的某些性质.特别地,给出了双重伪补代数的假值理想和假值同余的特征表示. 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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该文找到了MS代数的商代数分别为De Morgan代数、Boole代数及Stone代数的最小同余关系,并借助MS代数的对偶理论,得到了MS代数的极大同态象的对偶表示. 相似文献
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Hanamantagouda P. Sankappanavar Júlia Vaz de Carvalho 《Mathematical Logic Quarterly》2014,60(6):425-436
In this paper we first describe the Priestley duality for pseudocomplemented De Morgan algebras by combining the known dualities of distributive p‐algebras due to Priestley and for De Morgan algebras due to Cornish and Fowler. We then use it to characterize congruence‐permutability, principal join property, and the property of having only principal congruences for pseudocomplemented De Morgan algebras. The congruence‐uniform pseudocomplemented De Morgan algebras are also described. 相似文献
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In this paper we study the congruences of *-regular semigroups, involution semigroups in which every element is p-related
to a projection (an idempotent fixed by the involution). The class of *-regular semigroups was introduced by Drazin in 1979,
as the involutorial counterpart of regular semigroups. In the standard approach to *-regular semigroup congruences, one ,starts
with idempotents, i.e. with traces and kernels in the underlying regular semigroup, builds congruences of that semigroup,
and filters those congruences which preserve the involution. Our approach, however, is more evenhanded with respect to the
fundamental operations of *-regular semigroups. We show that idempotents can be replaced by projections when one passes from
regular to *-regular semigroup congruences. Following the trace-kernel balanced view of Pastijn and Petrich, we prove that
an appropriate equivalence on the set of projections (the *-trace) and the set of all elements equivalent to projections (the
*-kernel) fully suffice to reconstruct an (involution-preserving) congruence of a *-regular semigroup. Also, we obtain some
conclusions about the lattice of congruences of a *-regular semigroup.
This revised version was published online in June 2006 with corrections to the Cover Date. 相似文献