然后，详细探讨了代数环问题的起因、讨论了三种消除代数环的方法并比较了各自的优缺点。

Then, the origin of an algebraic loop is discussed and there solutions to algebraic loops are compared.

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Q F环的研究已成为近期国际代数学界研究的热点。

Now the study of QF rings has been a hotspot in international algebraic world.

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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.

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