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Star Construction Of Semirings Ⅰ

Posted on:2004-03-28Degree:MasterType:Thesis
Country:ChinaCandidate:Q T OuFull Text:PDF
GTID:2120360092993421Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
In this paper , we introduce the concepts of star element and star ideal of a semiring, and discuss the star construction of semirings.The paper is separated into four parts. Firstly, we introduce the concepts of star element, and star semiring . Secondly, we introduce the concept of star ideal of a semiring and discuss its properties. Thirdly, we introduce the concept of star congruence of a semiring and characterize quotient structure about Rees congruences. Finally , we introduce the concept of star homomorphism of semirings and discuss its properties.
Keywords/Search Tags:Semirings, Star elements, Star ideals, Star congruences, Star homomorphisms
PDF Full Text Request
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