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Order representability in groups and vector spaces
dc.contributor.author | Candeal, Juan Carlos | |
dc.contributor.author | Indurain, Esteban | |
dc.contributor.author | Sanchis López, Manuel | |
dc.date.accessioned | 2013-07-09T15:08:15Z | |
dc.date.available | 2013-07-09T15:08:15Z | |
dc.date.issued | 2012 | |
dc.identifier.issn | 0723-0869 | |
dc.identifier.uri | http://hdl.handle.net/10234/70061 | |
dc.description.abstract | In the present paper, first we study in a systematic way the numerical representation problem for total preorders defined either on groups or on real vector spaces. Then, we consider groups and real vector spaces equipped with a topology, and analyze the fulfillment of the so-called continuous representability property; the latter meaning that every continuous total preorder defined on the given topological space admits a continuous real-valued order-preserving function. We also explore the analogous cases as above for total preorders that are compatible with the given algebraic structure, looking for real-valued, continuous or not, order-preserving functions that, in addition, are algebraic homomorphisms | ca_CA |
dc.format.extent | 21 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | Elsevier | ca_CA |
dc.relation.isPartOf | Expositiones Mathematicae. 2012, Volume 30, Issue 2 | ca_CA |
dc.rights | © 2012 Elsevier GmbH. All rights reserved. | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | * |
dc.subject | algebraic totally preordered structures | ca_CA |
dc.subject | order-representability properties | ca_CA |
dc.title | Order representability in groups and vector spaces | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | http://dx.doi.org/10.1016/j.exmath.2012.01.007 | |
dc.rights.accessRights | info:eu-repo/semantics/restrictedAccess | ca_CA |
dc.relation.publisherVersion | http://www.sciencedirect.com/science/article/pii/S0723086912000084 | ca_CA |
dc.type.version | info:eu-repo/semantics/publishedVersion |
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