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Research Article | Open Access

On a semiring variety generated by B 0 , ( B 0 ) ∗ , A 0 , N 2 , T 2 , Z 2 , W 2

Lili Wang, Aifa Wang( ), Peng Li
School of Science, Chongqing University of Technology, Chongqing 400054, China
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Abstract

We study the semiring variety generated by B 0 , ( B 0 ) ∗ , A 0 , N 2 , T 2 , Z 2 , W 2 . We prove that this variety is finitely based and prove that the lattice of subvarieties of this variety is a distributive lattice of order 2327. Moreover, we deduce this variety is hereditarily finitely based.

Keywords

semiringvarietylatticeidentityhereditarily finitely based
CLC number: 08B15, 08B05, 16Y60, 20M07

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AIMS Mathematics
Volume 7 Issue 5,
May 2022
Pages 8361-8373
DOI: 10.3934/math.2022466

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Cite this article:
Wang L, Wang A, Li P. On a semiring variety generated by B 0 , ( B 0 ) ∗ , A 0 , N 2 , T 2 , Z 2 , W 2 . AIMS Mathematics, 2022, 7(5): 8361-8373. https://doi.org/10.3934/math.2022466

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Received: 28 November 2021
Revised: 15 February 2022
Accepted: 17 February 2022
Published: 15 May 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)