Acta mathematica scientia,Series A

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The Semigroup Structure of Orthorings

Zhou Yuanlan1; Guo Yuqi2; Wang zhengpan2   

  1. (1.Department of Mathematics, Jiangxi Normal University, Nanchang 330000;
    2.Department of Mathematics, South-west China University, Chongqing 400715)
  • Received:2006-11-22 Revised:2007-12-08 Online:2008-12-25 Published:2008-12-25
  • Contact: Zhou Yuanlan

Abstract: A semiring is an orthoring, if it is the disjoint union of subrings and the set of its additive idempotents is a band semiring. An orthoring is called a T rthoring, if the set of its additive idempotents is a T band semiring. The semigroup structures of orthorings and some T orthorings are studied.

Key words: Rectangular ring, Band semiring, Orthoring, T orthoring

CLC Number: 

  • 20M10
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