作为应用，获得自伴算子空间和对称算子空间上的约当环同构的具体刻画。
Application to characterizing the Jordan ring automorphisms on the space of self-adjoint operators and the space symmetric operators are also presented.
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.
定义了变换近环，然后证明了任意一个有单位元的近环与它的变换近环同构；任意一个无零因子近环与它的变换近环同。
The commutation near ring defined, it is proved that the near ring of an arbitrary near ring with its unit dimension is isomorphous with its commutation near ring.
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.
本文证明了在同构意义下四元环仅有十一个。
This paper prove that there are only eleven four—rings up to isomorphism.
本文定义了模的一种新的环变换，讨论了它的一些基本性质，并且给出了由诱导函子引起的环变换下的一个模的同构定理。
This paper defines a new transformation of modules, discusses some of its basic characteristics, and proposes a modular isomorphic theorem of the ring transformation caused by induced functors.
同时对盟定义了盟模，并证明了对部分半群g，所有G -盟作成的范畴与所有G -分次环作成的范畴是同构的。
It is proved that for a partial semigroup g, the category of G-unions and the category of G-graded rings are isomorphic.
同时，关于形式三角矩阵环也有类似的同构式。
Reduced and regular properties of formal triangular matrix rings;
同时，关于形式三角矩阵环也有类似的同构式。
Reduced and regular properties of formal triangular matrix rings;
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