GAO Zidong, REN Miaomiao. Varieties generated by 3-nilpotent commutative flat semiring[J]. Journal of Beijing Normal University(Natural Science), 2025, 61(5): 654-658. DOI: 10.12202/j.0476-0301.2025117
Citation: GAO Zidong, REN Miaomiao. Varieties generated by 3-nilpotent commutative flat semiring[J]. Journal of Beijing Normal University(Natural Science), 2025, 61(5): 654-658. DOI: 10.12202/j.0476-0301.2025117
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Varieties generated by 3-nilpotent commutative flat semiring

    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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