论文标题

最小反身份非血症戒指

Minimal Reflexive Nonsemicommutative Rings

论文作者

Chimal-Dzul, Henry, Szabo, Steve

论文摘要

最近已经显示,最小可逆的非对称环的命令为256,回答了关于2个主要环的分类法中提出的质疑的原始作品。在相关工作中还回答了有关与此分类法有关的最小环的类似问题的答案。该报告中排除的一种最小环是一种最小的Abelian反身份非血流环。在这项工作中,表明最小的阿贝尔反身份非中性戒指是256的命令,一个示例为f2d8。这是另一个主要结果的结果,即在某些prime p和k <8的有限阿贝尔反身PK中是可逆的。

It has recently been shown that a minimal reversible nonsymmetric ring has order 256 answering a questioned original posed in a paper on a taxonomy of 2-primal rings. Answers to similar questions on minimal rings relating to this taxonomy were also answered in a related work. One type of minimal ring that was left out of that report, was a minimal abelian reflexive nonsemicommutative ring. In this work it is shown that a minimal abelian reflexive nonsemicommutative ring is of order 256 an example of which is F2D8. This is a consequence of the other primary result which is that a finite abelian reflexive ring of order pk for some prime p and k < 8 is reversible.

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