algebras

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1.
Commutativity up to a factor is one of the invariants of isomorphisms among operator algebras.
算子的因子交换性是算子代数之间同构的不变量之一。
suàn zǐ de yīn zǐ jiāo huàn xìng shì suàn zǐ dài shù zhī jiān tóng gòu de bù biàn liàng zhī yī 。
www.ceps.com.tw
2.
Generally speaking, KS-algebras are reflexive, maximal triangular with respect to its "diagonal subalgebra" .
粗略来说，KS-代数即为相对于其对角子代数的极大上三角自反代数。
cū lüè lái shuō , KS- dài shù jí wéi xiāng duì yú qí duì jiǎo zi dài shù de jí dà shàng sān jiǎo zì fǎn dài shù 。
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3.
The most intuitive development of boolean algebras arises from the concept of a set algebra.
布尔代数最直觉的发展产生与集合代数的概念。
bù ěr dài shù zuì zhí jué de fā zhǎn chǎn shēng yǔ jí hé dài shù de gài niàn 。
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4.
The concept of intuitionistic filters of BCI-algebras is introduced and some important results are given.
引入BCI-代数的直觉模糊滤子的概念，刻划一些重要的结论。
yǐn rù BCI- dài shù de zhí jué mó hu lǜ zǐ de gài niàn , kè huà yì xiē zhòng yào de jié lùn 。
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5.
In this paper, we study the subalgebra structure of the general linear Lie algebras over commutative rings.
本文研究了含幺可换环上一般线性李代数的子代数结构。
běn wén yán jiū le hán yāo kě huàn huán shàng yì bān xiàn xìng lǐ dài shù de zǐ dài shù jié gòu 。
www.ceps.com.tw
6.
The authors show that the Lies Theorem holds for Lie color algebras with a torsion- free abelian group G.
作者证明了无挠群上的色李代数的李定理，同时，也给出例子说明无挠性是必要的。
zuò zhě zhèng míng liǎo wú náo qún shàng de sè lǐ dài shù de lǐ dìng lǐ , tóng shí , yě gěi chū lì zǐ shuō míng wú náo xìng shì bì yào de 。
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7.
The derivation Lie algebras of quantum torus have many important application in the study of the representation theory of Lie algebras.
量子环面上的导子李代数在李代数的表示的研究中起着很重要的应用。
liàng zǐ huán miàn shàng de dǎo zǐ lǐ dài shù zài lǐ dài shù de biǎo shì de yán jiū zhōng qǐ zhe hěn zhòng yào de yìng yòng 。
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8.
Two criteria for the reducibility of presentations of finite dimensional associative algebras are presented.
给出有限维结合代数上表示可约性的两个判别法。
gěi chū yǒu xiàn wéi jié hé dài shù shàng biǎo shì kě yuē xìng de liǎng gè pàn bié fǎ 。
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9.
As an application of Chinese remainder theorem in IS-algebras, an isomorphism theorem in IS-algebras is given.
作为IS-代数上的中国剩余定理的应用，同时给出了一个IS-代数的同构定理。
zuò wéi IS- dài shù shàng de zhōng guó shèng yú dìng lǐ de yìng yòng , tóng shí gěi chū le yī gè IS- dài shù de tóng gòu dìng lǐ 。
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10.
Going even further, one can exploit the fact the dual orders of Boolean algebras are exactly the Boolean algebras themselves.
进一步的，你可以发现布尔代数的对偶次序完全的是布尔代数自身。
jìn yí bù de , nǐ kě yǐ fā xiàn bù ěr dài shù de duì ǒu cì xù wán quán de shì bù ěr dài shù zì shēn 。
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