六阶半群的有限基问题

Q1 Mathematics

Lms Journal of Computation and Mathematics Pub Date : 2015-01-01 DOI:10.1112/S1461157014000412

Edmond W. H. Lee, Wen Ting Zhang

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引用次数: 24

摘要

如果两个半群既不同构也不反同构，则它们是不同的。虽然存在$ 15,973 $ 6阶的成对不同半群，但已知只有4个是非有限基的。本文证明了其他6阶$ 15,969 $不同半群的有限基性质。因为所有五阶或更低阶的半群都是有限基的，所以已知的四个六阶的非有限基半群是最小阶的唯一例子。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Finite Basis Problem for Semigroups of Order Six

Two semigroups are distinct if they are neither isomorphic nor anti-isomorphic. Although there exist $15\,973$ pairwise distinct semigroups of order six, only four are known to be non-finitely based. In the present article, the finite basis property of the other $15\,969$ distinct semigroups of order six is verified. Since all semigroups of order five or less are finitely based, the four known non-finitely based semigroups of order six are the only examples of minimal order.

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来源期刊

Lms Journal of Computation and Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： LMS Journal of Computation and Mathematics has ceased publication. Its final volume is Volume 20 (2017). LMS Journal of Computation and Mathematics is an electronic-only resource that comprises papers on the computational aspects of mathematics, mathematical aspects of computation, and papers in mathematics which benefit from having been published electronically. The journal is refereed to the same high standard as the established LMS journals, and carries a commitment from the LMS to keep it archived into the indefinite future. Access is free until further notice.