On the quotient class of non-archimedean fields

dc.contributor.author	Dinis, Bruno
dc.contributor.author	van den Berg, Imme
dc.contributor.editor	Top, Jaap
dc.date.accessioned	2019-02-11T17:23:18Z
dc.date.available	2019-02-11T17:23:18Z
dc.date.issued	2017
dc.description.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.	por
dc.identifier.authoremail	bruno.dinis@uevora.pt
dc.identifier.authoremail	ivdb@uevora.pt
dc.identifier.citation	Bruno Dinis, Imme van den Berg, On the quotient class of non-archimedean fields, Indagationes Mathematicae, 28 (4) (2017, 784-795	por
dc.identifier.doi	https://doi.org/10.1016/j.indag.2017.05.001	por
dc.identifier.scientificarea	333	por
dc.identifier.uri	https://www.sciencedirect.com/science/article/pii/S0019357717300393
dc.identifier.uri	http://hdl.handle.net/10174/24539
dc.language.iso	eng	por
dc.peerreviewed	yes	por
dc.publisher	Indagationes Mathematicae	por
dc.rights	restrictedAccess	por
dc.subject	Non-archimedean fields	por
dc.subject	Cosets	por
dc.subject	Regular semigroups	por
dc.subject	Convexity	por
dc.title	On the quotient class of non-archimedean fields	por
dc.type	article	por

Files

Now showing 1 - 1 of 1

Now showing 1 - 1 of 1