Repositório Digital de Publicações Científicas: On the quotient class of non-archimedean fields

Please use this identifier to cite or link to this item: http://hdl.handle.net/10174/24539

Title:	On the quotient class of non-archimedean fields
Authors:	Dinis, Bruno van den Berg, Imme
Editors:	Top, Jaap
Keywords:	Non-archimedean fields Cosets Regular semigroups Convexity
Issue Date:	2017
Publisher:	Indagationes Mathematicae
Citation:	Bruno Dinis, Imme van den Berg, On the quotient class of non-archimedean fields, Indagationes Mathematicae, 28 (4) (2017, 784-795
Abstract:	The quotient class of a non-archimedean field is the set of cosets with respect to all of its additive convex subgroups. The algebraic operations on the quotient class are the Minkowski sum and product. We study the algebraic laws of these operations. Addition and multiplication have a common structure in terms of regular ordered semigroups. The two algebraic operations are related by an adapted distributivity law.
URI:	https://www.sciencedirect.com/science/article/pii/S0019357717300393 http://hdl.handle.net/10174/24539
Type:	article
Appears in Collections:	CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica

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