Regular proper *-embedding of proper *-semigroups and rings
作者: Adel A. Abdelkarim
作者单位: 1Jerash University, Jerash, Jordan
刊名: Journal of Semigroup Theory and Applications, 2013, Vol.2013
来源数据库: Science & Knowledge Publishing Corporation Limited
原始语种摘要: In this paper, it is shown that a cancellative semigroup is embeddable in an inverse semigroup. It is shown that finite proper *-semigroup is regular and any finite commutative proper *-semigroup is a union of groups. Also it is shown that a finite cyclic proper * semigroup is a group while an infinite one is *-embedded in a proper*-group, and any finite maximal proper*- semigroup has a proper *-extension ring. It is shown that there is a nonregular proper *-ring that cannot be *-embedded in any regular proper *-ring. Also it is shown that an Artinian proper *-ring is a finite direct product of matrix rings over skew fields. It is shown that a commutative proper * and cancellative semigroup is *-embeddable in a regular proper *-semigroup.
全文获取路径: SCIK 

  • semigroup 半群
  • rings 泥包
  • regular 均匀的
  • embeddable 可嵌入
  • finite 有限的
  • commutative 可换的
  • maximal 最大的
  • embedding 包埋法
  • matrix 石基
  • embedded 嵌入