coalgebra meaning in Chinese
上代数
Examples
- Structural constants of finite dimension algebra and coalgebra
有限维代数及余代数的结构常数 - 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 。 - 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。 - 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。 - 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 。