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1.
FI代数的滤子   总被引:14,自引:8,他引:6  
研究FI代数的滤子理论,建立F滤子、P滤子、Q滤子、C滤子之间的联系.  相似文献   

2.
在FI代数(Fuzzy蕴涵代数)上引入了模糊滤子的概念并给出了其等价刻画;探讨了由模糊滤子所诱导的同余关系及商代数,证明了由模糊滤子所诱导的同余关系是完备分配格.  相似文献   

3.
正则FI代数的若干性质   总被引:7,自引:2,他引:5  
讨论正则FI代数的若干性质。在研究FI代数与Boole代数间关系的同时,给出正则FI代数与BCK代数的另一种联系方式。  相似文献   

4.
首先,在FI代数X上以全体MP滤子之集为基建立了一个拓扑空间(X,F_(MP)).给出了拓扑空间(X,F_(MP))中集合A的导集、闭包和内部的计算公式.其次,考察了(X,X_(MP))的若干拓扑性质.最后,研究了乘积FI代数的乘积MP滤子拓扑.  相似文献   

5.
FI代数,BCK代数与关联半群   总被引:7,自引:3,他引:4  
文献[1]讨论了Fuzzy蕴涵代数(简称为FI代数)与MV代数、格蕴涵代数之间的关系,本文进一步讨论了FI代数与有界关联BCK代数、关联半群的联系,并应用FI代数方法简化了BCK代数中某些定理的证明。  相似文献   

6.
给出了分配的Fuzzy蕴涵代数的定义并探讨了其有关性质,接着本文证明了分配的Fuzzy蕴涵代数与Boole代数、正则的HFI代数是相互等价的,从而得到Boole代数的两个等价形式,并且证明了分配的Fuzzy蕴涵代数是BL代数,最后得到了FI代数成为Boole代数的几个充要条件。  相似文献   

7.
将犹豫模糊集概念与FI代数的滤子和同余关系概念相结合,引入了FI代数的犹豫模糊滤子和犹豫模糊同余关系概念并研究它们的性质和相互关系.获得了FI代数在给定犹豫模糊同余关系下的商代数特征并建立了同态基本定理.证明了当分别在CFI代数的全体犹豫模糊滤子集和全体犹豫模糊同余关系集上定义适当的序关系后,二者保序同构.  相似文献   

8.
首先给出了Fuzzy代数直积的一些性质,然后讨论了Fuzzy商代数的直积结构.  相似文献   

9.
深入研究F I代数的与其导出序结构相关的一些性质。特别地,分别得到了在F I代数(L,→,0)中下列各式之一成为恒等式的若干条件:(1)(x∨y)→z=(x→z)∧(y→z);(2)z→(x∨y)=(z→x)∨(z→y);(3)(x∧y)→z=(x→z)∨(y→z);(4)z→(x∧y)=(z→x)∧(z→y)。  相似文献   

10.
谢乐平  王登银 《数学杂志》2014,34(1):130-136
本文研究了三角代数是否是零积决定的代数的问题.利用零积决定的代数的等价条件和代数方法,获得了三角代数是零积决定的代数的条件,推广了矩阵代数是零积决定的代数的结果.作为应用,得到零积决定的代数的零积导子一定是准导子.  相似文献   

11.
All automorphisms of the standard Borel subalgebra of the symplectic algebra sp(2m,?R) are determined, provided that R is a commutative ring with identity, 2 is invertible in R.  相似文献   

12.
Given a local homeomorphism where UX is clopen and X is a compact and Hausdorff topological space, we obtain the possible transfer operators Lρ which may occur for given by α(f)=fσ. We obtain examples of partial dynamical systems (XA,σA) such that the construction of the covariance algebra C(XA,σA), proposed by B.K. Kwasniewski, and the crossed product by a partial endomorphism O(XA,α,L), recently introduced by the author and R. Exel, associated to this system are not equivalent, in the sense that there does not exist an invertible function ρC(U) such that O(XA,α,Lρ)≅C(XA,σA).  相似文献   

13.
Let A and B be Banach algebras and T : B → A be a continuous homomorphism. nweak amenability of the Banach algebra A ×T B(defined in Bade, W. G., Curtis, P. C., Dales, H. G.:Amenability and weak amenability for Beurling and Lipschitz algebras. Proc. London Math. Soc.,55(2), 359–377(1987)) is studied. The new version of a Banach algebra defined with a continuous homomorphism is introduced and Arens regularity and various notions of amenability of this algebra are studied.  相似文献   

14.
This paper deals with multialgebras. An important tool in the theory of multialgebras is the fundamental relation, which brings us into the class of the universal algebras. In this paper we will present the construction of the direct limit of a direct system of multialgebras, some basic properties of this construction, and we will see that the fundamental algebra of the direct limit of multialgebras is the direct limit of the fundamental algebras of the given multialgebras.  相似文献   

15.
In this paper we introduce an algebraic concept of the product of Ockham algebras called the Braided product. We show that ifL i MS(i=1, 2, ,n) then the Braided product ofL i(i=1, 2, ,n) exists if and only ifL 1, ,L n have isomorphic skeletons.  相似文献   

16.
Let G be a group acting faithfully on a set X. The distinguishing number of the action of G on X, denoted D G(X), is the smallest number of colors such that there exists a coloring of X where no nontrivial group element induces a color-preserving permutation of X. In this paper, we consider the distinguishing number of two important product actions, the wreath product and the direct product. Given groups G and H acting on sets X and Y respectively, we characterize the distinguishing number of the wreath product GY H in terms of the number of distinguishing colorings of X with respect to G and the distinguishing number of the action of H on Y. We also prove a recursive formula for the distinguishing number of the action of the Cartesian product of two symmetric groups S m × S n on [m] × [n].  相似文献   

17.
Ren Wang 《代数通讯》2018,46(9):3712-3721
For a finite free and projective EI category, we prove that Gorenstein-projective modules over its category algebra are closed under the tensor product if and only if each morphism in the given category is a monomorphism.  相似文献   

18.
Grobler  J.J. 《Positivity》1999,3(4):357-364
Let be an Abelian Archimedean lattice ordered algebra. The order bidual furnished with the Arens product is again a lattice ordered algebra. We show that the order continuous order bidual is Abelian. This solves an open problem and improves a result of Scheffold, who proved it for the case of normed lattice ordered algebras. The proof is based on the up-down-up approximation of positive elements in the order continuous order bidual by elements in the canonical image of in Components of positive elements in are characterized and the result is applied to the Arens product of -and almost -algebras.  相似文献   

19.
20.
Laurent Poinsot 《代数通讯》2018,46(4):1641-1667
Any commutative algebra equipped with a derivation may be turned into a Lie algebra under the Wronskian bracket. This provides an entirely new sort of a universal envelope for a Lie algebra, the Wronskian envelope. The main result of this paper is the characterization of those Lie algebras which embed into their Wronskian envelope as Lie algebras of vector fields on a line. As a consequence we show that, in contrast to the classical situation, free Lie algebras almost never embed into their Wronskian envelope.  相似文献   

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