Regular proper *-semigroup embeddings and involutionstitle
作者: Adel A. Abdelkarim
作者单位: 1Jerash University, Jerash, Jordan
刊名: Journal of Semigroup Theory and Applications, 2015, Vol.2015
来源数据库: Science & Knowledge Publishing Corporation Limited
原始语种摘要: It is proved that if (S,∗) is a proper *-semigroup and if D is 0-characteristic integral domain then (D[S],∗) is nil-semisimple provided that S is finite or i ∈ D.Let (S,∗) be a finite proper *-semigroup and F be a finite field of characteristic p such that (F[S],∗) is a proper *-ring. Then F[S] is a direct product of fields and 2×2 matrix rings over fields. Furthermore, p≠2,p≠1 mod 4.
全文获取路径: SCIK 

  • semigroup 半群
  • semisimple 半单的
  • rings 泥包
  • finite 有限的
  • domain 领域
  • characteristic 特有的
  • matrix 石基
  • integral 积分
  • provided 只要
  • proved 证实储量