On (m,n)-ideals of left almost semigroups
作者: Faisal YousafzaiWaqar KhanWenbin GuoMadad Khan
作者单位: 1University of Science and Technology of China, Hefei, China
2The university of chicago, USA
刊名: Journal of Semigroup Theory and Applications, 2014, Vol.2014 (0)
来源数据库: Science & Knowledge Publishing Corporation Limited
原始语种摘要: In this paper, we study (m,n)-ideals of an LA -semigroup in detail. We characterize (0,2)-ideals of an LA -semigroup S and prove that A is a (0,2)-ideal of S if and only if A is a left ideal of some left ideal of S. We also show that an LA -semigroup S is 0-(0,2)-bisimple if and only if S is right 0-simple. Furthermore we study 0-minimal (m,n)-ideals in an LA -semigroup S and prove that if R (L) is a 0-minimal right (left) ideal of S, then either RmLn= {0} or RmLnis a 0-minimal (m,n)-ideal of S for m,n ≥ 3. Finally we discuss (m,n)-ideals in an (m,n)-regular LA -semigroup S and show that S is (0,1)-regular if and only if L = SL where L is a (0,1)-ideal of S.
全文获取路径: SCIK  (合作)
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关键词翻译
关键词翻译
  • semigroup 半群
  • regular 均匀的
  • prove 实验
  • ideal 理想
  • only 唯一的
  • minimal 最小的
  • discuss 议论
  • detail 详情
  • right 右边的
  • simple 单纯的