English translation for "subalgebra"
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- 子代数
Related Translations:
- Example Sentences:
| 1. | 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。 | | 2. | 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。 | | 3. | 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 | | 4. | 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。 | | 5. | 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 |
- Similar Words：
- "subakan" English translation, "subakde" English translation, "subal oboo" English translation, "subalar muscle" English translation, "subalar sclerite" English translation, "subalimentation" English translation, "subalitiber ammunition" English translation, "subalitiber gun" English translation, "subalkalic" English translation, "subalkaline rock" English translation
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