Yazar "Koyuncu, Fatih" için listeleme
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ABSOLUTE IRREDUCIBILITY OF BIVARIATE POLYNOMIALS VIA POLYTOPE METHOD
Koyuncu, Fatih (Korean Mathematical Soc, 2011)For any field F, a polynomial f is an element of F[x(1), x(2),., x(k)] can be associated with a polytope, called its Newton polytope. If the polynomial f has integrally indecomposable Newton polytope, in the sense of ... -
Integral and homothetic indecomposability with applications to irreducibility of polynomials
Koyuncu, Fatih; Özbudak, Ferruh (Scientific Technical Research Council Turkey-Tubitak, 2009)Being motivated by some methods for construction of homothetically indecomposable polytopes; we obtain new methods for construction of families of integrally indecomposable polytopes. As a result, we find new infinite ... -
Integrally indecomposable polytopes
Koyuncu, Fatih (2006)Gao gave a criterion for the integral indecomposability, with respect to the Minkowski sum, of polytopes lying inside a pyramid with an integrally indecomposable base. Here, we weakened this criterion to the polytopes lying ... -
Irreducible polynomials by the polytope method over integral domains
Koyuncu, Fatih (2005)Ostrowski realized that there is a relation between the factorization of a multivariate polynomial over any field and the integral decomposition of the Newton polytope of this polynomial. Here, we extended this result to ... -
Probabilities for absolute irreducibility of multivariate polynomials by the polytope method
Koyuncu, Fatih; Ozbudak, Ferruh (Scientific Technical Research Council Turkey-Tubitak, 2011)Motivated by the Dubickas's result in [1], which computes the probability of the irreducible polynomials by Eisenstein's criterion for some families of polynomials in Z[x], we calculate the probabilities which represent ... -
Soft sets and soft rings
Acar, Ummahan; Koyuncu, Fatih; Tanay, Bekir (Pergamon-Elsevier Science Ltd, 2010)Molodtsov (1999) introduced the concept of soft sets in [1]. Then, Maji et al. (2003) defined some operations on soft sets in [2]. Aktas and Cagman (2007) defined the notion of soft groups in [3]. Finally, soft semirings ...
