3-幂零交换平坦半环生成的簇
Varieties generated by 3-nilpotent commutative flat semirings
-
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,每个子簇是有限基的,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 semirings.By characterizing the subdirectly irreducible members and critical algebras in CF_3 , we prove that CF_3 has only 9 subvarieties,each of which is finitely based and finitely generated. Consequently, CF_3 is a Cross variety.