由三阶ai半循环产生的变种

Q3 Mathematics Ural Mathematical Journal Pub Date : 2020-12-26 DOI:10.15826/umj.2020.2.012

X. Zhao, M. Ren, S. Crvenkovic, Yong Shao, P. Dapic

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引用次数: 4

摘要

到同构为止，有61个三阶ai半环。研究了这些半环的有限基问题。文献中的一些结果回答了其中45个半环的这个问题。剩下的半环是用等式逻辑研究的。证明了除半环（S_7）外，所有三阶ai半环都是有限基的。

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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THE VARIETY GENERATED BY AN AI-SEMIRING OF ORDER THREE

Up to isomorphism, there are 61 ai-semirings of order three. The finite basis problem for these semirings is investigated. This problem for 45 semirings of them is answered by some results in the literature. The remaining semirings are studied using equational logic. It is shown that with the possible exception of the semiring \(S_7\), all ai-semirings of order three are finitely based.

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