Annihilator-semigroup rings | Zendy

D. D. Anderson | Zendy; Victor Camillo | Zendy

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Annihilator-semigroup rings

Author(s) -

D. D. Anderson,

Victor Camillo

Publication year - 2003

Publication title -

tamkang journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.324

H-Index - 18

eISSN - 0049-2930

pISSN - 2073-9826

DOI - 10.5556/j.tkjm.34.2003.313

Subject(s) - annihilator , mathematics , semigroup , ring (chemistry) , multiplicative function , pure mathematics , commutative ring , commutative property , discrete mathematics , ideal (ethics) , algebra over a field , mathematical analysis , law , chemistry , organic chemistry , political science

Let $ R $ be a commutative ring with 1. We define $ R $ to be an annihilator-semigroup ring if $ R $ has an annihilator-Semigroup $ S $, that is, $ (S, cdot) $ is a multiplicative subsemigroup of $ (R, cdot) $ with the property that for each $ r in R $ there exists a unique $ s in S $ with $ 0 : r = 0 : s $. In this paper we investigate annihilator-semigroups and annihilator-semigroup rings

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