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Prime Research on Education

ISSN: 2251-1253. Volume 2, Issue 3, pp. 204-207

 

 

 

Full Length Research

 

Rings and modules of fraction

 

Adagba O Henry

 

Department of Industrial Mathematics/Applied Statistics, Ebonyi State University, Abakaliki.

 

Accepted 19th March, 2012

 
Abstract

 

We obtain three main results of the work: Propositions II-IV. The first asserts essentially that one formation of fractions is enough in the sense that the quotient of fractions is a fraction. The last result asserts that the formation of fractions and the formation of quotient rings commute up to isomorphism.

 

Keywords: Rings of Fractions, Modules of Fractions, Ring Homomorphism, Natural Homomorphism, Isomorphism.

 

Mathematics Subject Classification: 13B30, 16S85, 13Cxx, 18A23.



 

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