We also proved that concept lattice is a lattice in algebraic significance and studied its algebraic properties. These results provided theoretical foundation and a new method for further study of concept lattice.
在概念格的代数性质方面，本文给出了形式背景下概念集合上的元素之间的二元运算，使通常意义下的概念格成为带有算子的概念格，证明了概念格为代数意义下的格，并研究了其代数性质，为概念格的进一步研究提供了理论基础和新的研究方法。
参考来源 - 基于概念格的知识获取方法研究We devote to present some necessary conditions for separability of density matrices of quantum mixed states and study some algebraic properties of the-products-of positive operators.
主要目的是寻找量子混合态密度矩阵可分的必要条件和研究正算子方块积的代数性质。
参考来源 - 量子混合态密度矩阵的可分性及正算子的方块积·2,447,543篇论文数据，部分数据来源于NoteExpress
The algebraic properties of the operator exclusive-or are characterized by the ACUN theory.
ACUN理论是异或算子代数性质的刻画。
Relatively Hyperbolic Groups, Intrinsic Geometry, Algebraic Properties, and Algorithmic Problems.
相对双曲群，内蕴几何，代数性质和算术问题。
Through these studies, the study of rough set's algebraic properties are spreaded to right involution groupoid.
这些结果将粗糙集代数性质的研究扩展到右对合广群这个代数系统中。
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