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Symmetric Extended MS-algebras with the Strong Endomorphism Kernel Property: 《Acta Mathematica Sinica,English Series》2022年第8期1447-1458,共12页Jie FANG; An endomorphism on an algebra A is said to be strong if it is compatible with every congruence on A.If every congruence on A,other than the universal congruence,is the kernel of a strong endomorphism on A,then A is sa...; 关键词：Extended MS-algebra strong endomorphism kernel property Priestley duality

Congruence Pairs of Decomposable MS-Algebras: 《Chinese Annals of Mathematics,Series B》2021年第4期561-574,共14页Sanaa El-ASSAR Abd El-Mohsen BADAWY; supported by 2nd International Conference for Mathematics,Statistics and Information Technology(ICMSIT for short)that held in the Faculty of Science;Tanta University;Egypt,18-20December,2018。; In this paper,the authors first introduce the concept of congruence pairs on the class of decomposable MS-algebras generalizing that for principal MS-algebras(see[13]).They show that every congruence relationθon a de...; 关键词：MS-Algebras Decomposable MS-algebras Congruence pairs Strong extension PERMUTABILITY Congruence lattices

Closure Extended Pseudocomplemented MS-Algebras: 《Wuhan University Journal of Natural Sciences》2021年第3期249-255,共7页LUO Congwen WANG Gaoxia; The variety CPMS of closure extended pseudocomplemented MS-algebras consists of the algebras(L;∧,∨,°,*,+,0,1)of type(2,2,1,1,1,0,0),where(L;∧,∨,°,*,+,0,1)is a pseudocomplemented MS-algebra,+is a lattice endomorp...; 关键词：closure extended pseudocomplemented MS-algebra CONGRUENCE subdirectly irreducible

e-FILTERS OF MS-ALGEBRAS: 《Acta Mathematica Scientia》2013年第3期738-746,共9页M. Sambasiva RAO; The notion of e-filters is introduced in an MS-algebra and characterized. The concept of D-filters is introduced and a set of equivalent conditions under which every D-filter is an e-filter are given. The properties o...; 关键词：MS-ALGEBRA e-filter dense element D-filter D-prime filter minimal prime filter Hausdorff space

ON SYMMETRIC EXTENDED MS-ALGEBRAS WHOSE CONGRUENCES ARE PERMUTABLE被引量：1: 《Acta Mathematica Scientia》2011年第3期1113-1122,共10页罗从文; 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 ...; 关键词：extended Ockham algebra symmetric extended MS-algebra congruence permutable

A SPECIAL KIND OF PRINCIPAL CONGRUENCES ON MS-ALGEBRAS被引量：2: 《Acta Mathematica Scientia》2008年第2期315-320,共6页罗从文; the Natural Science Foundation of Hubei Province; 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 irreducib...; 关键词：MS-ALGEBRA principal congruence MS-space

KERNEL IDEALS AND CONGRUENCES ON MS-ALGEBRAS被引量：3: 《Acta Mathematica Scientia》2006年第2期344-348,共5页罗从文郑延履; 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 kerne...; 关键词：MS-ALGEBRA MS-space kernel ideal

Stonean Kernels of MS-algebras: 《Wuhan University Journal of Natural Sciences》1998年第4期394-396,共3页Luo Congwen(College of Mathematical Sciences, Wuhan University, Wuhan 430072. China); In this paper, the internal structures of MS-algebras are investigated by means of the new notions of Stonean kernel and M-ideal. We determine necessary and sufficient conditions for an MS-algebra with a Kleene skelet...; 关键词：Kleene skeleton Stonean kernel M-IDEAL CONGRUENCE

Fixed Point Separating Congruences on Double MS-Algebras: 《Acta Mathematica Sinica,English Series》1998年第1期99-104,共6页Fang Jie Department of Mathematics, Zhongshan University, Guangzhou, 510275, China Mathematical Institute, University of St Andrews. St Andrews, Fife, KY16 9SS, Scotland, U. K.; 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 distri...; 关键词：Double MS-algebra Fixed point Separating congruence

On Filters of Double MS-algebras被引量：4: 《Chinese Quarterly Journal of Mathematics》1997年第1期30-34, ,共5页方捷; Here some properties on filters of double MS-algebras are descripted. We show that,for a normal filter F of a double MS-algebra (L;0, + )(x,y) ∈θ(F) (a,b ∈ F) (x ∧α)∨b+= (y ∧ a)∨ b+.; 关键词：FILTER normal filter double MS-algebra

MS-ALGEBRA