C-l-contact and C-l-right equivalences of real semi-quasihomogeneous C-l function germs
| dc.contributor.author | Carlos Ferreira Costa, Joao [UNESP] | |
| dc.contributor.author | Jose Sala, Marcelo | |
| dc.contributor.author | Humberto Soares Junior, Carlos | |
| dc.contributor.institution | Universidade Estadual Paulista (Unesp) | |
| dc.contributor.institution | Universidade de São Paulo (USP) | |
| dc.contributor.institution | CNN UFPI | |
| dc.date.accessioned | 2015-03-18T15:56:57Z | |
| dc.date.available | 2015-03-18T15:56:57Z | |
| dc.date.issued | 2014-07-01 | |
| dc.description.abstract | In this paper we investigate the C-l versions of contact and right equivalences of real semi-quasihomogeneous C-l function germs, 1 <= l <= infinity. The C-l-right equivalence implies C-l-contact equivalence for any 1 <= l <= infinity and in this work we show, up to certain conditions, that for semi-quasihomogeneous C-l function germs the converse is also true (Theorem 1). As a consequence, concerning the particular case of quasihomogeneous C-l function germs, we also have a similar result (Corollary 1) which recover a known result of M. Takahashi [14] for l = infinity. We note that we are considering semi-quasihomogeneous function germs with no additional hypothesis of isolated singularity at zero. | en |
| dc.description.affiliation | IBILCE UNESP, Dept Matemat, Sao Jose Do Rio Preto, SP, Brazil | |
| dc.description.affiliation | ICMC USP, Dept Matemat, Sao Carlos, SP, Brazil | |
| dc.description.affiliation | CNN UFPI, Dept Matemat, Teresina, PI, Brazil | |
| dc.description.affiliationUnesp | IBILCE UNESP, Dept Matemat, Sao Jose Do Rio Preto, SP, Brazil | |
| dc.description.sponsorship | Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) | |
| dc.description.sponsorship | Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) | |
| dc.description.sponsorship | Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) | |
| dc.format.extent | 127-137 | |
| dc.identifier.citation | Hiroshima Mathematical Journal. Higashi: Hiroshima Univ, Grad Sch Sci, v. 44, n. 2, p. 127-137, 2014. | |
| dc.identifier.issn | 0018-2079 | |
| dc.identifier.uri | http://hdl.handle.net/11449/117812 | |
| dc.identifier.wos | WOS:000344985300001 | |
| dc.language.iso | eng | |
| dc.publisher | Hiroshima Univ, Grad Sch Sci | |
| dc.relation.ispartof | Hiroshima Mathematical Journal | |
| dc.relation.ispartofjcr | 0.257 | |
| dc.relation.ispartofsjr | 0,351 | |
| dc.rights.accessRights | Acesso restrito | |
| dc.source | Web of Science | |
| dc.subject | contact equivalence | en |
| dc.subject | right equivalence | en |
| dc.subject | semi-quasihomogeneous germs | en |
| dc.title | C-l-contact and C-l-right equivalences of real semi-quasihomogeneous C-l function germs | en |
| dc.type | Artigo | |
| dcterms.rightsHolder | Hiroshima Univ, Grad Sch Sci | |
| unesp.campus | Universidade Estadual Paulista (Unesp), Instituto de Biociências Letras e Ciências Exatas, São José do Rio Preto | pt |