algebra product 中文意思是什麼
algebra product
解釋
代數積-
We can give different structures on a tensor product h q to make it a bialgebra or hopf algebra. in [ 1 ] radford constructed a hopf algebra a x h with the smash algebra structure and the smash coproduct coalgebra structure, and pointed out that if a bialgebra b has a hopf subalgebra h and a projection ! : b - - > h, then there must be a subalgebra a of b such that b @ a x h is a bialgebra isomorphism
在張量積hq上可以給出不同的構造，使它成為雙代數或hopf代數， radford在文獻[ 1 ]中構造了以smash積為代數結構，余smash積為余代數結構的hopf代數a h ，並指出若b是雙代數， h是b的子hopf代數，且存在投射： b h （即是雙代數同態，且| _ h = id _ h ） ，則一定存在b的子代數a ，使ba h是雙代數同構。 -
In the 3rd chapter, according to the requirement of the representation of the product information, a new data model - xoem ( extensive object exchange model ) is presented because of the lack of the data model, which faces to the xml. the formal description of the xoem and its corresponding algebra are put forward, and then the data model is applied to the xml document on the web. in the 4th chapter, the method of the uniform information representation is presented according to the requirement of the description and identification of the diversified heterogeneous product information
在第三章中，結合產品信息網上表達的需求，針對www環境下缺乏面向產品信息xml描述的web數據模型的情況，提出了基於帶根連通有向圖的一種新的數據模型即可擴展對象交換模型xoem （ extensiveobjectexchangemodel ） ，給出了該模型嚴格的形式化描述，並將該模型應用到含有xml半結構化數據的web中。 -
Then, we study the case of finite boolean algebra based on the fact that any finite boolean algebra is the direct product of a finite number of binary boolean algebra
然後，基於有限布爾代數是二元布爾代數的有限直積這一事實，討論了有限布爾代數上的情況 -
On the basis of this, this paper gives a necessary and sufficient condition for an lfi algebra being embedded into the product of a system of linearly ordered fi algebras
事實上，關于lfi代數的這一方法完全可「平移」到討論剩餘格的可嵌入性問題上。進而還指出了具有可嵌入性的lfi代數的性質。 -
In section 4, we first show that for two bicomodule algebra a # h and b # h, the cotensor product ( a # h ) h ( b # h ) is still a smash product ( a b ) # h. then we describe the structure on a b and give the corresponding equivalent conditions. in section 5, we will complete the description of the bialgebra structures we have given, and give the equivalent conditions for such bialgebras to be hopf algebras
在第4部分中，我們得出結論：兩個h -雙余模代數a # h和b # h的余張量積（ a # h ） _ h （ b # h ）仍是smash積（ ab ） # h ，並給出了ab應具有的結構及相應的等價條件。在第5部分中我們得出了a # h上雙代數結構的完整描述，並刻劃了這個雙代數結構何時是一個hopf代數。 -
The paper is organized as follows. in the first section, we introduce some backgrounds and recall the definitions including weyl type algebra, smash product and ore extension
本文具體組織如下：第一節主要介紹了基本概念和理論背景，給出了weyl型代數， smash積，和ore擴張等基本概念。
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