Representations of Symmetric Implication Algebras as Multicubes

Simple item page
dc.creatorBailey, Colin
dc.creatorOliveira, Joseph
dc.date2009-02-05
dc.date.accessioned2026-07-07T12:38:52Z
dc.date.available2026-07-07T12:38:52Z
dc.descriptionWe show that the variety of symmetric implication algebras is generated from cubic implication algebras and Boolean algebras. We do this by developing the notion of a locally symmetric implication algebra that has properties similar to cubic implication algebras and provide a representation of these algebras as subalgebras of a product of a cubic implication algebra and an implication algebra. We then show that every symmetric implication algebra is covered by a locally symmetric implication algebra.
dc.description25 pages
dc.identifierhttps://arxiv.org/abs/0902.0993
dc.identifierhttp://arxiv.org/abs/0902.0993
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218912
dc.subjectCombinatorics
dc.subjectRings and Algebras
dc.subject06A12 (Primary), 08A30, 08A05 (Secondary)
dc.titleRepresentations of Symmetric Implication Algebras as Multicubes
dc.typetext

Files

Collections

arXiv