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

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.

Bibliographic Details
Main Author: John Papadopoulos
Format: Article
Language:English
Published: Hindawi Limited 1986-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171286001023