数学季刊 ›› 1998, Vol. 13 ›› Issue (2): 1-4.

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On λ[S] Semigroup of Semigroup

  

  1. Department of Applied Mathematics,Shanghai Jiaotong University

  • 收稿日期:1996-03-05 出版日期:1998-06-30 发布日期:2024-10-29

On λ[S] Semigroup of Semigroup

  1. Department of Applied Mathematics,Shanghai Jiaotong University
  • Received:1996-03-05 Online:1998-06-30 Published:2024-10-29

摘要: In this paper,we introduce the notion of λ[S]([S] ρ) semigroup with the inner left and right translations of semigroup S,hence define the homomorphic mapping λ from λ[S] to S and we have λ[S]/kerλS λS and λ(J( λ[S])=J(S λ),J(S λ) is the Jacobson radical of S λ. 

关键词: semigroup, left( right) translations, homomorphic mapping, Jacobson radical

Abstract: In this paper,we introduce the notion of λ[S]([S] ρ) semigroup with the inner left and right translations of semigroup S,hence define the homomorphic mapping λ from λ[S] to S and we have λ[S]/kerλS λS and λ(J( λ[S])=J(S λ),J(S λ) is the Jacobson radical of S λ. 

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