Arslan, FezaŞahin, MesutMete, PinarSahin, MesutMathematics2024-10-062024-10-062009230002-9939[WOS-DOI-BELIRLENECEK-526]https://hdl.handle.net/20.500.14411/8836In this article, by using the technique of gluing semigroups, we give infinitely many families of 1-dimensional local rings with non-decreasing Hilbert functions. More significantly, these are local rings whose associated graded rings are not necessarily Cohen-Macaulay. In this sense, we give an effective technique for constructing large families of 1-dimensional Gorenstein local rings associated to monomial curves, which support Rossi's conjecture saying that every Gorenstein local ring has a non-decreasing Hilbert function.eninfo:eu-repo/semantics/closedAccessHilbert function of local ringtangent conemonomial curvenumerical semigroupsemigroup gluingnice gluingRossi's conjectureArticleQ2Q3137722252232WOS:000264663600008