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《山东大学学报(理学版)》 ›› 2025, Vol. 60 ›› Issue (11): 59-64.doi: 10.6040/j.issn.1671-9352.0.2023.246

• • 上一篇    

关于加法幂等元半环簇V(S(a2b))

吴亚楠   

  1. 西北大学数学学院, 陕西 西安 710069
  • 发布日期:2025-11-11
  • 作者简介:吴亚楠(1993— )，女，博士研究生，研究方向为代数学. E-mail：wuyanan@stumail.nwu.edu.cn
  • 基金资助:
    国家自然科学基金资助项目(11971383)

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

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摘要： 研究由S(a2b)生成的簇V(S(a2b)),刻画V(S(a2b))的子簇格L(V(S(a2b))),证明V(S(a2b))的每一个子簇都是有限基底和V(S(a2b))是遗传有限基底。

关键词: ai-半环, 平坦半环, 子簇格, 有限基底

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

中图分类号: 

  • O153.5
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