给出了格蕴涵代数、MV代数、R 0代数等一些格上蕴涵代数之间的关系，并建立了它们的对偶代数。
This paper gives out that the relationship among lattice implication algebras, MV algebras, R0 algebras and other implication algebras based on lattices, and their dual algebras are established.
基于对偶边界积分方程（DBIE）构造代数方程组，采用广义极小残值迭代法（GMRES）求解。
The algebraic equation from the dual boundary integral equations(DBIE) was solved using the generalized minimum residual method(GMRES).
本文对对偶扩张代数的性质作了有意义的研究。
In this paper, some useful properties of dual extension algebras are considered.
提出和阐明了两个普遍的逻辑规律——代数替换公理与对偶原理。
The article puts forward and sets out clearly algebraic substitution axiom and the principle of duality, which are both universal logic laws.
讨论了偏序线性空间的代数对偶空间上的端单调线性泛函的延拓性。
In this paper, our aim is to discuss the extension of an extremal monotonic linear functional in the algebraic dual space of a partially ordered linear space.
基于等价类的划分、线性方程组的求解和标准基之对偶基的计算，提出了域元素分量代数表达式的三种求法。
Based on the partition of equivalent classes, the resolving of a linear system of equations and the calculation of the dual basis of the standard basis, three methodologies are presented.
通过研究双对称代数的对偶结构，主要讨论双对称余代数的张量积及双对称代数和双对称余代数之间的对偶关系。
The tensor products of double-symmetric coalgebras and the dual relationships between double-symmetric algebras and double-symmetric coalgebras are discussed.
我们给出了有限维对称自对偶色李代数可以双扩张的充分条件，从而在上同调意义下解决了这类色李代数的分类问题；
We give a sufficient condition for a finite dimensional symmetric self-dual Lie color algebras to be a double extension, thus we solve its classification in the sense of cohomology;
我们给出了有限维对称自对偶色李代数可以双扩张的充分条件，从而在上同调意义下解决了这类色李代数的分类问题；
We give a sufficient condition for a finite dimensional symmetric self-dual Lie color algebras to be a double extension, thus we solve its classification in the sense of cohomology;
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