The finite basis problem for additively idempotent semirings of order four, II

IF 0.4 4区数学 Q3 MATHEMATICS

Algebra Universalis Pub Date : 2025-10-21 DOI:10.1007/s00012-025-00908-5

Meng Ya Yue, Miao Miao Ren, Ling Li Zeng, Yong Shao

引用次数: 0

Abstract

We study the finite basis problem for 4-element additively idempotent semirings whose additive reducts have the least element and two coatoms. Up to isomorphism, there are 93 such algebras. We show that with the exception of the semiring \(S_{(4, 435)}\), all of them are finitely based.

Abstract Image

查看原文本刊更多论文

四阶可加幂等半环的有限基问题，2

研究了具有最小元和两个共原子的四元可加幂等半环的有限基问题。到同构为止，有93个这样的代数。我们表明，除了半循环\(S_{(4, 435)}\)之外，所有这些都是有限基的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Algebra Universalis 数学-数学

CiteScore

1.00

自引率

16.70%

发文量

审稿时长

3 months

期刊介绍： Algebra Universalis publishes papers in universal algebra, lattice theory, and related fields. In a pragmatic way, one could define the areas of interest of the journal as the union of the areas of interest of the members of the Editorial Board. In addition to research papers, we are also interested in publishing high quality survey articles.