吴劲鹏, 张荣华. 正则纯整半群的λ-半直积[J]. 云南大学学报(自然科学版), 2003, 25(6): 469-473.
引用本文: 吴劲鹏, 张荣华. 正则纯整半群的λ-半直积[J]. 云南大学学报(自然科学版), 2003, 25(6): 469-473.
WU Jing-peng, ZHANG Rong-hua. λ-semidirect products of regular orthodox semigroups[J]. Journal of Yunnan University: Natural Sciences Edition, 2003, 25(6): 469-473.
Citation: WU Jing-peng, ZHANG Rong-hua. λ-semidirect products of regular orthodox semigroups[J]. Journal of Yunnan University: Natural Sciences Edition, 2003, 25(6): 469-473.

正则纯整半群的λ-半直积

λ-semidirect products of regular orthodox semigroups

  • 摘要: 假定ρ是左正则纯整半群S上的幂等元分离同余,则证明了S可嵌入到一个左正则纯整群和S/ρ的λ-半直积中.进一步的,给出了正则纯整半群λ-双半直积的概念,并且得到此类半群的嵌入定理.

     

    Abstract: Letρbe an idempotent-separating congruence on a left regular orthodox semigroup S.It’s showed thatScan be imbedded in aλ-semidirect product of a left regular orthogroup by S/ρ.Furthermore,λ-dually semidirect products of regular orthodox semigroups are defined and the embedding theorem for such semigroups is obtained.

     

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