3-幂零交换平坦半环生成的簇

Varieties generated by 3-nilpotent commutative flat semiring

    摘要
  • 摘要: 探讨了所有 3 -幂零交换平坦半环生成的 \mathrm簇CF_3 ．通过刻画 CF_3 的次直不可约半环及关键代数，证明了 CF_3 恰好包含 9 个子簇，每个子簇是有限基且有限生成的；确认 \mathrm了CF_3 是Cross簇．

     

    Abstract: This paper investigates the variety CF_3 generated by all 3-nilpotent commutative flat semiring． By characterizing the subdirectly irreducible members and critical algebras in CF_3 , we prove that CF_3 has only 9 subvarieties, each is finitely-based and finitely-generated. Consequently, CF_3 is a Cross variety．

     

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