No Abelian Semigroup Operation Is Complete

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dc.contributor.authorWesselkamper, Thomas C.en
dc.contributor.departmentComputer Scienceen
dc.date.accessioned2013-06-19T14:36:28Zen
dc.date.available2013-06-19T14:36:28Zen
dc.date.issued1974en
dc.description.abstractThis paper shows that there does not exist a finite abelian semigroup <S, *> with order > 3 such that the semigroup operation is complete over S. Neither is {*} complete with constants over S. J. C. Muzio has shown that over any finite space there exists a set of two abelian semigroup operations which is complete with constants over the space. Hence Muzio's result is best possible.en
dc.format.mimetypeapplication/pdfen
dc.identifierhttp://eprints.cs.vt.edu/archive/00000774/en
dc.identifier.sourceurlhttp://eprints.cs.vt.edu/archive/00000774/01/CS74021-R.pdfen
dc.identifier.trnumberCS74021-Ren
dc.identifier.urihttp://hdl.handle.net/10919/20237en
dc.language.isoenen
dc.publisherDepartment of Computer Science, Virginia Polytechnic Institute & State Universityen
dc.relation.ispartofHistorical Collection(Till Dec 2001)en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.titleNo Abelian Semigroup Operation Is Completeen
dc.typeTechnical reporten
dc.type.dcmitypeTexten

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