给出了无限秩仿射李代数的实形和某种类型的紧效实形的定义，并证明了这种紧致实形在自同构下的唯一性。
In this paper, we define real form of infinite rank affine Lie Algebra and we also give its some types of compact real form which is proved unique under automorphism.
给出了一类新的试验多项式，可识别多项式代数的非线性自同构。
We can distinguish nonlinear automorphism of polynomials algebra by using the test polynomials.
交换环上矩阵代数的可解子代数和幂零子代数的自同构分解问题是一类重要的具有理论意义的研究课题。
It is theoretically important to solve the problems of decomposition of automorphisms of solvable subalgebra and nilpotent subalgebra of matrix algebra over commutative rings.
在这篇论文中，定理“任意两个具有相同有限个原子的可数无穷布尔代数是同构的”的一个证明被给出。
In this paper, a proof of the theorem on "Any two denumerable Boolean algebras with atoms of the same finite number are isomorphic" is given.
运用基础代数中有关自同构、左平移、正规子群等理论，对群G的全形进行了简单的探讨，证明了几个有关的结论。
By using the theories in basic algebra about automorphism, left translation and normal subgroup, in the holomorph of G is discussed briefly, and several related conclusions are obtained.
纠正了关于赋值图的张量代数的同构定理证明中的一个疏忽，给出了此同构定理一个完整的证明。
An error is corrected and a complete proof of isomorphism theorem for tensor algebras over valued graphs is given.
依据有限域直和与有限环同构的代数性质，对多路复用系统构造线性分组码。
According to algebraic property that a direct sum of Galois fields is isomorphic to a finite ring, the linear block code for multiplexing systems is proposed.
利用半代数的同余来讨论半代数的同态定理及其第一，第二同构定理。
Then, with congruence of the semialgebra, we proved the homomorphic theorem of semialgebra and its first and second isomorphic theorems.
本文引进并研究了三元代数的相对乘子代数，建立了一个同构定理。
This paper given the definition of the relative double multiplier on a ternary algebra, and study the isomorphic problem of the relative multiplier algebra.
首先给出了典型李代数自同构的一些性质，接着用矩阵的形式具体给出典型李代数自同构共轭的充要条件，并计算了任意阶自同构的不动点集。
In this paper, some properties of automorphisms of classical Lie algebras was given first and then a classification of conjugacy automorphisms using only the matrix theory was presented.
本文研究了一类非结合代数的自同构。
In this paper, we study the automorphism of a type of non-associative algebra.
如果代数A满足我们建立的一个温和的条件，则必为同构或者是反同构。
In this note, we establish a mild condition on A such that every Jordan automorphism of A is either an isomorphism or an anti-isomorphism.
在一元泛代数上引入了双同余关系，从而使双同态映射与双同构映射得到了沟通。
In this paper we have given the concept of double-congruence, by which the concepts of double-homomorphism and double-isomorphism in a unary algebra are linked together.
如果代数A满足我们建立的一个温和的条件，则必为同构或者是反同构。
The forms of automorphisms and anti automorphisms of reflexive algebra A are given.
如果代数A满足我们建立的一个温和的条件，则必为同构或者是反同构。
The forms of automorphisms and anti automorphisms of reflexive algebra A are given.
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