查询词典 commutative groupoid

Mathematics A set of elements having two operations, designated addition and multiplication, satisfying the conditions that multiplication is distributive over addition and that both operations are associative and commutative for all elements of the set, with the exception of the additive identity element, which is not commutative in respect to multiplication.

域，体：进行加法和乘法两种运算的一组数，满足如下条件，即乘法分配律同样适用于加法分配律，各数在做加法和乘法两种运算中可相互结合并交换，但在乘法中不可交换的加性恒等幺元除外

In this paper, we discuss effect algebra and related topics. The main results are the following:1. Effect algebra is a commutative algebraic structure. To get a non-commutative algebraic structure.we introduced the concepts of left difference and right difference, and we also introduced the concept of the Bi-difference sets, the concept of pseudo-difference poset, and proved that pseudo-difference poset is equivalent to pseudo-effect algebra.

效应代数描述的是具有交换性的量子系统，我们借助于差运算的思想研究了不可交换的量子逻辑结构，建立了左差、右差、伪差偏序集、双差集等概念，证明了伪差偏序集与伪效应代数等价，并得到了双差集的幺半群表示定理。

By using properties of scalar matrices over semirings,we generalize algebraic properties for the automorphisms of matrix algebras over commutative rings and obtain some algebraic properties for the automorphisms of matrix algebras over commutative semirings.

在这一章中，我们首先利用半环上常量矩阵的性质把环上矩阵代数的性质拓广到半环上，获得了交换半环上矩阵代数自同构的一些代数性质，接下来采用积和式的方法证明任意非负交换半环上n阶矩阵代数Tn的自同构的n次幂必为内自同构。

But so far, there is no characterization of the closed Lie ideals in AF vN algebras and Groupoid C~*-algebra.

但对一般的AF vN代数中的三角子代数及Groupoid C~*-代数的Lie理想的研究到目前为止还没有任何结果。

Moreover we describe the structure of Hopf algebroid by the motivating examples such as Weak Hopf algebras, groupoid algebras.

进一步从弱Hopf代数、群胚代数等具体例子中刻画Hopf代数胚的构造。

Second, we give a detailed description of the structure of closed Lie ideals in a finite CSL algebra Alg of simple Groupoid C~*-algebra B.

其次刻画了单的Groupoid C~*-代数B中的有限CSL代数Alg的闭Lie理想。

DragonSoft hearing million meters of altitude, and Chongqing man died Huang groupoid how cut - throat ?

华龙网讯万米高空，重庆男子黄广群何以割喉死亡？

The relation between the rank of a matrix and the rank of its compound adjoint matrix over any commutative ring is given.

建立交换环上矩阵A的秩与A的复合伴随矩阵C*k的秩之间的关系。

M porous structure confirms transmission of body fluid of human body and ingrowths of mineral and fiber tissue, then made it firmer combine with around tissue of human body and the commutative pores was favourable for affusion of bioactive HA.

本实验采用东北大学陶瓷研究所研制成功的由Ti粉和Ni粉为主要原料，采用TiH_2和NH_4HCO_3作为造孔剂，通过粉末冶金方法制备的多孔NiTi合金，并采用真空灌注羟基磷灰石的方法取得的种植体的新材料，在添加TiH_2做为造孔剂的基础上在Ti：Ni原子比为50%：50%的试样中添加NH_4HCO_3做为第二种造孔剂后，试样中的气孔经检测是由100～500μm的大孔、1～50μm小孔和1μm以下的微孔组成，产生了合理的粗化表面并同时得到了固位良好的生物涂层。

Since there are special courses devoted to commutative algebra and algebraic geometry, these parts are not included in the present course.

因此选择的内容应有普适性、示范性、基础性、重要性和可教性。过于专门化的理论或细节不是这门课的任务。

Cable dampener cannot be rolled up but must be hung over the cable.

缆帆不能被卷起，必须保证处于展开状态

"This skylark is a present from my master," he says.

"这只云雀是我主人献上的礼物。"他说。