Costa, João Carlos Ferreira [UNESP]Saia, Marcelo JoséSoares Júnior, Carlos Humberto2015-04-272015-04-272014Hiroshima Mathematical Journal, v. 44, p. 127-137, 2014.0018-2079http://hdl.handle.net/11449/122742In this paper we investigate the C ` versions of contact and right equivalences of real semi-quasihomogeneous C ` function germs, 1 ≤ ` ≤ ∞. The C ` -right equivalence implies C ` -contact equivalence for any 1 ≤ ` ≤ ∞ and in this work we show, up to certain conditions, that for semi-quasihomogeneous C ` function germs the converse is also true. As a consequence, we recover some known results about C∞-right and C∞-contact equivalences of C∞ function germs. We note that we are considering semi-quasihomogeneous function germs with no additional hypothesis of isolated singularity at zero.127-137porcontact equivalenceright equivalencesemi-quasihomogeneous germsArtigoAcesso restrito9827386217465989