Multi-Hypersubstitutions and Colored Solid Varieties

Simple item page
dc.creatorDenecke, Klaus
dc.creatorKoppitz, Jorg
dc.creatorShtrakov, Slavcho
dc.date2008-11-28
dc.date2008-12-03
dc.date.accessioned2026-07-07T12:08:33Z
dc.date.available2026-07-07T12:08:33Z
dc.descriptionHypersubstitutions are mappings which map operation symbols to terms. Terms can be visualized by trees. Hypersubstitutions can be extended to mappings defined on sets of trees. The nodes of the trees, describing terms, are labelled by operation symbols and by colors, i.e. certain positive integers. We are interested in mappings which map differently colored operation symbols to different terms. In this paper we extend the theory of hypersubstitutions and solid varieties to multi-hypersubstitutions and colored solid varieties. We develop the interconnections between such colored terms and multi-hypersubstitutions and the equational theory of Universal Algebra. The collection of all varieties of a given type forms a complete lattice which is very complex and difficult to study; multi-hypersubstitutions and colored solid varieties offer a new method to study complete sublattices of this lattice.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/0811.4764
dc.identifierhttp://arxiv.org/abs/0811.4764
dc.identifierInternational Journal of Algebra and Computation Vol. 16, No. 4 (2006) 797-815
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/209355
dc.subjectRings and Algebras
dc.subject08A15, 08A25
dc.titleMulti-Hypersubstitutions and Colored Solid Varieties
dc.typetext

Files

Collections

arXiv