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161.
Inordertostudymanyvaluedlogicsystemandeventhelogicsystembasedonlattice,analgebraicstructure-latticeimplicationalgebrawasintroducedinreference[1].Thestudyoflatticeimplicationalgebraasalgebraicsystemisofindependentinterest.Inreference[2,3]somepropertie… 相似文献
162.
主要讨论分配格上的矩阵A的标准特征向量问题.从基本概念出发,给出了全部标准特征向量的计算方法。 相似文献
163.
反射后激光(光子)螺旋性改变的量子论解释和信息论意义 总被引:1,自引:0,他引:1
基于近年来王顺金提出的处理螺旋光纤中激光(光子)传播时的螺旋性变化的理论方法和所得结果,分析了激光(光子)在反射后螺旋性(左旋与右旋)互换这一实验事实,发现激光(光子)反射的瞬息过程会产生一个极高的激光束回转频率,它与激光园偏振(光子自旋)发生科式惯性力耦合,进而改变激光(光子)的螺旋性.还发现当激光束回转频率达到极大时,将发生激光(光子)螺旋性(左旋与右旋)互换.讨论了激光反射后螺旋性互换的信息论含义及其应用. 相似文献
164.
The fundamental characterization theorem of standard elements in lattices is extended to posets. Several other characterizations of standard elements are obtained in a sectionally semi-complemented poset and also in an atomistic, dually sectionally semi-complemented poset. 相似文献
165.
It is proved that the lattice of all solvable totally local Fitting classes is algebraic and distributive.
Translated fromMatematicheskie Zametki, Vol. 67, No. 5, pp. 662–673, May, 2000. 相似文献
166.
Sergio Arturo Celani 《Mathematical Logic Quarterly》1999,45(2):207-218
In this note we introduce and study algebras (L, V, Λ, ?, 0,1) of type (2, 2,1,1,1) such that (L, V, ?, 0,1) is a bounded distributive lattice and ? is an operator that satisfies the condition ? (a V b) = a ? b and ? 0 = 1. We develop the topological duality between these algebras and Priestley spaces with a relation. In addition, we characterize the congruences and the subalgebras of such an algebra. As an application, we will determine the Priestley spaces of quasi-Stone algebras. 相似文献
167.
拟连续Domain与广义完全分配格 总被引:4,自引:0,他引:4
本文证明了(1)在合适的态射下,拟连续domain范畴与广义完全分配范畴等价;(2)对有界完备的拟连续domain P,(P,σ(P))为极大极限空间. 相似文献
168.
Yi-jia Tan 《Czechoslovak Mathematical Journal》2006,56(2):299-316
In this paper, the concepts of indecomposable matrices and fully indecomposable matrices over a distributive lattice L are introduced, and some algebraic properties of them are obtained. Also, some characterizations of the set F
n
(L) of all n × n fully indecomposable matrices as a subsemigroup of the semigroup H
n
(L) of all n × n Hall matrices over the lattice L are given. 相似文献
169.
S. Yu. Podzorov 《Algebra and Logic》2007,46(3):163-187
We deal with some upper semilattices of m-degrees and of numberings of finite families. It is proved that the semilattice
of all c.e. m-degrees, from which the greatest element is removed, is isomorphic to the semilattice of simple m-degrees, the
semilattice of hypersimple m-degrees, and the semilattice of Σ
2
0
-computable numberings of a finite family of Σ
2
0
-sets, which contains more than one element and does not contain elements that are comparable w.r.t. inclusion.
Supported by the Grant Council (under RF President) for Young Russian Scientists via project MK-1820.2005.1.
__________
Translated from Algebra i Logika, Vol. 46, No. 3, pp. 299–345, May–June, 2007. 相似文献
170.
On a Poisson–Lie Analogue of the Classical Dynamical Yang–Baxter Equation for Self-dual Lie Algebras
We derive a generalization of the classical dynamical Yang–Baxter equation (CDYBE) on a self-dual Lie algebra G by replacing the cotangent bundle T*G in a geometric interpretation of this equation by its Poisson–Lie (PL) analogue associated with a factorizable constant r-matrix on G. The resulting PL-CDYBE, with variables in the Lie group G equipped with the Semenov-Tian-Shansky Poisson bracket based on the constant r-matrix, coincides with an equation that appeared in an earlier study of PL symmetries in the WZNW model. In addition to its new group theoretic interpretation, we present a self-contained analysis of those solutions of the PL-CDYBE that were found in the WZNW context and characterize them by means of a uniqueness result under a certain analyticity assumption. 相似文献