English translation for "coalgebra"

上代数

Related Translations:

lie coalgebra:  李伴代数

graded coalgebra:  分次上代数

cocommutative coalgebra:  上交换上代数

Example Sentences:

	1.	Structural constants of finite dimension algebra and coalgebra 有限维代数及余代数的结构常数
	2.	Lemma 7 h = be a weak hopf - coalgebra and is a normalized left integral of h1 ; then for all theorem 5 let h = be a finite - dimension weak hopf - coalgebra , then h is semisimple if and only if h1 is semisimple 一余代数，则下列命题等价： （ hi半单问hi中存在正规左积分iehi问hi是可分的卜代数引理5对弱hopf7t一余代数h khalh ，八，乙）而言1是从的正规积分有： voe 。
	3.	In section 5 , we change the conditions of important theorems which are in section 3 and 4 . we prove that the fundamental structure theorem still hold if a is a hopf algebra , and b a cleft comodule algebra or if a is a hopf algebra , and c a cocleft module coalgebra 第5节主要将第3 ， 4节主要定理的条件改变，分别讨论当a是hopf代数， b是cleft余模代数时；和a是hopf代数， c是cleft模余代数时，基本结构定理仍然成立。
	4.	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 在张量积hq上可以给出不同的构造，使它成为双代数或hopf代数， radford在文献[ 1 ]中构造了以smash积为代数结构，余smash积为余代数结构的hopf代数a h ，并指出若b是双代数， h是b的子hopf代数，且存在投射： b h (即是双代数同态，且| _ h = id _ h ) ，则一定存在b的子代数a ，使ba h是双代数同构。
	5.	Lemma 5 let ( m , p ) be a right weak hopf - comoduleover h = a weak hopf - coalgebra , then for all ( 1 ) is a right submodule over ha of m . theorem 3 if h is a weak hopf - coalgebra and m = { ma } a is a right weak hopf - comodule over h ; we claim that : in the fourth section , we mainly study the weak integrals of h and the semisimplicity of h . we discuss the relation between the - integral and the antipiode of h , we get the following main results : lemma 6 let h = be a weak hopf - coalgebra , then the following statements for an element are equivalent ( a ) 1 a integral of h1 ( b ) ( c ) ( d ) ( e ) ( f ) is a right integral of h theorem 4 let h = be a weak hopf - coalgebra . then the following conditions on h1 are equivalent ( a ) h1 is semisimple ） ?喇） （ 1 ， 1 ） ）二m仰n m ” ” “是m的右从子模定理3设h为弱hopf7t一余代数， m ma人h是h上的右弱hopf7t一余模n h是h在m上的余不动卢、 。则第四节我们主要讨论了弱horf 。一余代数的半单性与h ；中的弱积分的关系；牙用（ h ，上门， l ） ， 3 ， si ）为弱hopf代数这一q点；我来观察hi的正规弱积分与h的半单性之间的关系；该节第部分主要是给出弱hopf 。
	6.	Then we have : theorem 1 provided that h = be a weak hopf - coalgebra ; then we have : in the third section , we mainly study the - comudules : the weak hopf - comodules ; and we get the main results as : theorem 2 suppose c is a - coalgebra , then we say : ( a ) there is a one - to - one correspondence between ( isomorphic classses of ) right - comoduleover c and ( isomorphic classes of ) rational - graded left c * - modules 为c在订上的模作用，它在直和项上的模作用形式为：上面三步影射依次为： z呛p （叩广。 ，山二clmhxclmhx ；吮z ；丽，迟儿的；是指q与c之间的自然匹配定理2设c为7t一余代数，则以下结论成立： （ a ） c上的右。

Similar Words：

"coalformingproce" English translation, "coalgas" English translation, "coalgas industry" English translation, "coalgas waste" English translation, "coalgate" English translation, "coalgeology" English translation, "coalhole" English translation, "coalhurst" English translation, "coalhydrogenation" English translation, "coali" English translation