Digit systems over commutative rings

dc.contributorUniversidade Estadual Paulista (UNESP)
dc.creatorScheicher, Klaus
dc.creatorSurer, Paul
dc.creatorThuswaldner, Joerg M.
dc.creatorVan de Woestijne, Christiaan E.
dc.date2015-03-18T15:55:34Z
dc.date2016-10-25T20:34:50Z
dc.date2015-03-18T15:55:34Z
dc.date2016-10-25T20:34:50Z
dc.date2014-09-01
dc.date.accessioned2017-04-06T07:15:12Z
dc.date.available2017-04-06T07:15:12Z
dc.identifierInternational Journal Of Number Theory. Singapore: World Scientific Publ Co Pte Ltd, v. 10, n. 6, p. 1459-1483, 2014.
dc.identifier1793-0421
dc.identifierhttp://hdl.handle.net/11449/117220
dc.identifierhttp://acervodigital.unesp.br/handle/11449/117220
dc.identifier10.1142/S1793042114500389
dc.identifierWOS:000341012700008
dc.identifierhttp://dx.doi.org/10.1142/S1793042114500389
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/927867
dc.descriptionLet epsilon be a commutative ring with identity and P is an element of epsilon[x] be a polynomial. In the present paper we consider digit representations in the residue class ring epsilon[x]/(P). In particular, we are interested in the question whether each A is an element of epsilon[x]/(P) can be represented modulo P in the form e(0)+ e(1)x + ... + e(h)x(h), where the e(i) is an element of epsilon[x]/(P) are taken from a fixed finite set of digits. This general concept generalizes both canonical number systems and digit systems over finite fields. Due to the fact that we do not assume that 0 is an element of the digit set and that P need not be monic, several new phenomena occur in this context.
dc.languageeng
dc.publisherWorld Scientific Publ Co Pte Ltd
dc.relationInternational Journal Of Number Theory
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectCanonical number systems
dc.subjectshift radix systems
dc.subjectdigit systems
dc.titleDigit systems over commutative rings
dc.typeOtro


Este ítem pertenece a la siguiente institución