JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2025, Vol. 60 ›› Issue (11): 59-64.doi: 10.6040/j.issn.1671-9352.0.2023.246

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The additively idempotent semiring variety V(S(a2b))

WU Yanan   

  1. School of Mathematics, Northwest University, Xian 710069, Shaanxi, China
  • Published:2025-11-11

Abstract: The variety V(S(a2b)) generated by S(a2b) is studied, and the lattice L(V(S(a2b)))of subvarieties of V(S(a2b)) is depicted. Also, each member of this lattice is finitely based and V(S(a2b)) is hereditarily finitely based are proved.

Key words: ai-semiring, flat semiring, the lattice of subvarieties, finitely based

CLC Number: 

  • O153.5
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