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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 9 (1986), Issue 4, Pages 821-823
doi:10.1155/S0161171286001023

A hypervaluation of a ring onto a totally ordered non-cancellative semigroup without zero divisors

John Papadopoulos

41-43 Ioulianou str., Athens 104 34, Greece

Abstract

In this paper we answer to a question posed by Marc KRANSER: It is possible to have a totally ordered noncancellative semigroup without zero divisors, and a ring hypervaluated by this semigroup? We were able to give a positive answer and provide an example.