The Congruences and Homomorphisms of Lattice-valued Mealy-type Machines;
格值Mealy自动机的同余和同态
The notion congruences and homomorphisms of Lattice-valued fuzzy finite automata is proposed,investigates some algebraic properties of congruences and homomorphisms about these automata.
给出了格值自动机的同余和同态,从代数角度出发详细研究了同余和同态关系的代数性质,揭示了格值自动机的代数性质和取值格半群的紧密联系,利用同余和同态关系最终研究了格值自动机的极小化问题,在正则同余下给出了可在有限步实现具有模糊初始状态和特殊模糊终状态的自动机极小化的算法。
In this paper,congruences on regular semigroups with Q-inverse transversal are investigated based on their bricks-building structure.
对具有Q-逆断面的正则半群S的基于子半群R、L为构件的结构,引入了R、L上的同余的相容条件及用R和L上同余作成的同余对的概念,给出了S上的相应的同余刻画。
Upper and Lower Approximation Based on Congruences on Linear Spaces;
线性空间上基于同余的上(下)近似
A characterization of skew-ring congruences on a class of semirings;
一类半环的skew-环同余的刻画
Non-congruent Presentations for Certain Primitive Complex Reflection Groups;
某些本原复反射群的不同余表出
This paper introduces a new method of sieve, after deleting those parameter set from complete residue system of prime modulus which are congruent with starting points,combined to last residual set sifted n times.
引入一种新筛法,通过在素数模的完全剩余系中划掉与起点同余的参数集,组合出经由n次筛减后的剩余数集。
*-congruence
文中给出了一个具有正则 *-断面正则半群的例子 ,该半群同时存在非平凡 *-同余和非平凡的非 *-同余 ;证明了正则 *-断面上的每个 *-同余都能扩张成整个半群上的 *-同余 ;刻划了 *-同余和 *-同余格 ;定义了 *-同余格上的两个完全同余 T*FS和 T*S*;研究了 *-同余格上的完全同余 T*S*,T*,T*l ,Tr,U*和V*,给出了这些同余的类中的极值同余 (除 U*,V*外
The act of an ordered semigroup on a poset is extended into a lattice ordered semigroup on a lattice;the notion of S-lattices is introduced;and the properties of S-lattices congruence and S-lattices morphism are discussed to develop the representation theorems of lattice ordered semigroups.
将序半群在偏序集上的作用推广到格半群在格上的作用,提出了S-格的定义并讨论了S-格同态和S-格同余的性质,得到了格半群的表示定理。
Some congruences concerning Euler numbers;
关于Euler数的一些同余式
The note to the solutions of the congruence 2~(n-2)≡1(mod n);
关于同余式2~(n-2)≡1(mod n)的解的注记
Solution on the congruence 2~n≡5(mod n);
关于同余式2~n≡5(mod n)的解
The basic properties of principal congruence relations of a MS-algebra are discussed.
讨论了MS—代数的主同余关系的性质,当a=a~(00)或b=b~(00)时给出了MS—代数的主同余关系θ(a,b)的一个新的表达式。
In this paper, a congruence relations which is marked is introduced into N(2,2,0) algebra and a quotient algebra is established, and then the properties of natural homomorphic π are discussed.
在N( 2 ,2 ,0 )代数S中引入了一个同余关系～ ,从而建立了商代数S/～ ,并讨论了自然同态π的性
In this paper the fundamental properties of principal congruence relations of a softalgebra are presented.
为研究软代数的内部结构和特征，裴礼文和郑延履先生分别引进了软代数的同余关系和正规性的概念，并得到一些有意义的结果。
Some congruences,including a group congruence of completely Archimedean semigroup S,S=(G,n)are discussed.
利用同构映射构造出一类完全Archimedean半群,并且讨论了它的同余形式及群同余。
We study the relation of a GV-inverse semigroup congruence on a GV-semigroup S=(Y;Sα)and the π-group congruence on Sα.
讨论了GV-半群S=(Y;Sα)上的GV-逆半群同余与Sα上的π-群同余的关系,并把讨论结果应用到完全正则半群上。
We mainly get the result that there is a bijection between the set of all group congruence and the set of congruence subsemigroup on the nil-extension of completely simple semigroup.
论述了完全单半群的nil-扩张上的群同余与同余子半群之间的一一对应关系,即每个同余子半群可诱导出一个群同余,而每个群同余的核是一个同余子半群。