subalgebra meaning in Chinese
子代数
Examples
- The basic properties of matrix subalgebra were investiaged , the matrix subalgebra was generated by a single matrix , all maximal ideals were classified , the necessary and sufficient conditions for the subalgebra to be semisimple algebra were given
摘要研究了由一个矩阵生成的拒阵子代数的基本性质，给出了其极大理想的完全分类及这类子代数是半单代数的充要条件。 - 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。 - We prove that m has property ( p ) if and only if ( 11 ) let m be as in ( 10 ) then m and every weakly closed subspace including m have proverty ( p ) if and only if for any t b ( h } , there exist x , y h . such that ( 12 ) let a be a completely distributive subspace lattice algebra acting on a hilbert space , then the rank one subalgebra of a is dense in a if and only if , the weak closures of the first and the second preannihilators of a in the space of all trace class operators are reflexive
一弱闭算子空间，称州具有性质( p ) ，如果州中秩一算子生成的子空间在期中a一弱稠密.我们证得:川具有性质( p ) ，等价于州: = { t丁扭) : tx任[州上习， z任火} . ( ll )设川如( l0 )所述，则川以及包含川的每个a一弱闭子空间都具有性质( p ) ，当且仅当，对任意t任侧哟，都存在x ， ，任火使得t一x y州 - Let d be a nonzero k - vector space of commuting - derivations of a . kaim - ing zhao and yucai su studied the associative algebra a [ d ] = ak [ d ] of weyl type constructed from the pair of a commutative associative algebra . 4 and its commutative derivation subalgebra d over a field k of arbitrary characteristic
赵开明和苏育才研究了任意特征的域上具有单位元的交换结合代数a和它的交换导子的子空间d所构造的weyl型代数。他们证明了a [ d ]是单lie代数的充分必要条件是a是d -单的且k _ 1 [ d ]忠实地作用在a上。 - In section 2 . 2 , we prove that if the set of arrows in a quiver is not empty , then nq is not semisimple . we construct the nonsovable subalgebra of nq when there is no less than one circle whose length is bigger than one , and there is no loop in quiver q , thus leads to a conclusion that nq is nonsovable . using the index arrays to discuss the operation of necklace word . construct a sovable subalgebra of nq , which is not nilpotent . this shows that nq is not nilpotent provided that there is a cyclic with length bigger than 1
当箭图中有长度大于1的循环，且无圈时，构造了n _ q的非可解子代数，从而证明了n _ q是不可解李代数。我们还利用指标数组讨论了项链字的运算，构造了n _ q的可解非幂零子代数，从而证明了当箭图中有长度大于1的循环时，项链李代数非幂零。在2