In chapter 5, local derivations and local automorphisms of nest subalgebras in von Neumann algebras and local higher cohomology -local 2-cocycles are studied. It is proved that every weakly continuous local derivation, respectively, every weakly local automorphism, of nest subalgebra of a factor von Neumann algebra is a derivation, respectively, an automorphism. Every norm continuous local derivation, respectively, every norm local automorphism, of the nest subalgebra associated to a countable nest in a factor von Neumann algebra is a derivation, respectively, an automorphism. Moreover, it is answered Larson's question. Finally, it is shown that every local 2-cocycle of any von Neumann algebra is a 2-cocycle.

第五章研究von Neumann代數(shù)中套子代數(shù)的局部導子和局部同構(gòu)以及von Neumann代數(shù)的高維局部映射—局部2-上循環(huán)欧美姓爱一二三四区，證明了因子von Neumann代數(shù)中套子代數(shù)的每一個局部強連續(xù)導子和局部強連續(xù)同構(gòu)分別是導子和同構(gòu)黄片手片A片；可數(shù)套所對應的套子代數(shù)的每一個有界局部導子和有界局部同構(gòu)分別是導子和同構(gòu)国产精品一区二区v∧黒丝；同時一极一黄一区，部分回答了Larson所提的問題日韩中文字幕综合；最后欧美二级三级黄色片视频，得到von Neumann代數(shù)的每一個局部2-上循環(huán)是2-上循環(huán)。

Put forward a commutative law in the weak fuzzy implication algebra;The properties of weak FI-algebra and FI-algebra are studied.

引入可交換弱FI代數(shù)的概念日韩在线免费观看网站，討論了弱FI代數(shù)和FI代數(shù)的幾個性質(zhì)99爱国产视；進一步得到了交換弱FI代數(shù)和交換FI代數(shù)的一些結(jié)果。

We showthat End〓is an algebra in 〓,and then we construct a derived Lie algebra〓 in 〓 and prove existenceness of its enveloping algebra under the condi-tion that the"braiding"in the category 〓 is symmetric on 〓.

Radford的雙積定理給出了在Yetter-Drinfel'd范疇〓中構(gòu)造辮子群[48-50]的一種方法欧美又粗又长又黑。因為你懂得的永久，沖積已被發(fā)展為交叉積，許多沖積的相應結(jié)果被搬到了交叉積上有色精品合集无码一区。

The research of differential structure on the algebra system, has opened up a new field for the research of algebra, and offered a new method and thinking, greatly expanded the scope of application of algebra.

代數(shù)系統(tǒng)上的微分結(jié)構(gòu)的研究亚欧精品在线观看，為代數(shù)學的研究開辟了新的領域，提供了新的方法和思路免费啊啊网站在线观看，極大的擴展了代數(shù)學應用的范圍国产做a高清免费视频。

150 Chapter 1 The History and Future of Computers 3.2 Boolean Algebra Table 3-2 Distributivity Idempotency Absorption laws 分配律同一律吸收律 a=ab+ac a+= a+a=a aa=a a+ab=a a=a'=a'b''=a'+b' DeMorgan's laws德摩根定理計算機專業(yè)英語 1-151 Chapter 1 The History and Future of Computers 3.2 Boolean Algebra Since a finite set of n elements has exactly 2n subsets, and it can be shown that the finite Boolean algebras are precisely the finite set algebras, each finite Boolean algebra consists of exactly 2n elements for some integer n.

由于n個元素的有限集有且只有個子集由于個元素的有限集有且只有2n個子集免费不卡在线毛片，而且很顯然有限布個元素的有限集有且只有個子集，爾代數(shù)一定是有限集合代數(shù)亚洲小说在线，所以對某個整數(shù)n而言而言人操人免费视频，爾代數(shù)一定是有限集合代數(shù)，所以對某個整數(shù)而言亚洲Va欧美va国产va，每個有限布爾代數(shù)也有且只有2n個元素91福利免费视频。例如，上文定義的集合T的限布爾代數(shù)也有且只有個元素高清无码黄在线。

Semilattice graded weak Hopf algebra is a special case of weak Hopf algebra and a generalization of Hopf algebras, in Section 1.3, we will give results and applications to the Maschke's and Dual Maschke's Theorem of semilattice graded weak Hopf algebra.

盡管有限Clifford幺半群的量子偶確實是有限群量子偶的一個推廣国产精选白浆视频一区二区，但是[L2]中的量子偶一般情況下是不能夠看作是Hopf代數(shù)量子偶的一個推廣，這是因為我們在[L2]中要求所有討論的弱Hopf代數(shù)都是交換的AAA搡老熟女国产。

The elementary transformation matrix throughout the linear algebra theory has, it makes some of the problems of linear algebra, become more simple, makes it easier to understand, so elementary transformation in the role of linear algebra is very important.

標簽：論文摘要首页国内自拍偷拍视频，翻譯，論文矩陣的初等變換貫穿于整個線性代數(shù)理論的始終黄色网站免费精品在线观看，它使線性代數(shù)里的一些問題變的更加簡單日本女优一区，使人更容易理解，所以初等變換在線性代數(shù)中作用十分重要啪啪啪一级。

Based on the Lie algebra that describes the symmetries, it is proved in this dissertation that a sufficiently large class of control Hamiltonians can be provided by the universal enveloping algebra of the Lie algebra, on which the quantum mechanical control systems can be modelled.

基于描述量子力學系統(tǒng)對稱性的李代數(shù)結(jié)構(gòu)在线观看黄A片，本文證明該李代數(shù)的泛包絡代數(shù)提供了足夠大的一類控制哈密頓量，因而可以在其上建立量子力學控制系統(tǒng)的模型欧美另类激情。

It is easy to see that the bialgebra H we find,canbe regarded as the enveloping algebra of a Lie algebra,whose generators are thoseof the Lie algebra of type A and n-1 other elements which commute with genera-tors above.

可以看出国产一页，我們找到的H作為代數(shù)，恰為在An-1型李代數(shù)上增加與之可換的n-1個生成元后得到的包絡代數(shù)色友视频在线观看免费，其自然表示的矩陣元恰好生成代數(shù)AR香蕉一级毛片视频。

We use algebra to describe the semantics. Algebra provides a common base for function, class and algebra specification.

它以代數(shù)作為數(shù)學基礎，這使得函數(shù)日韩AA级毛片、類和代數(shù)規(guī)范等具有統(tǒng)一的合成基礎久久噜天天噜日日噜。