On the structure of universal non-IBN rings Vn,m.

Date

1981

Author

Kirezci, Murat

Metadata

Show full item record

Item Usage Stats

77
views

0
downloads

Subject Keywords

Associative algebras.

URI

https://hdl.handle.net/11511/11560

Collections

Graduate School of Natural and Applied Sciences, Thesis

Suggestions

OpenMETU
Core

A geometric approach to absolute irreducibility of polynomials Koyuncu, Fatih; Özbudak, Ferruh; Department of Mathematics (2004) This thesis is a contribution to determine the absolute irreducibility of polynomials via their Newton polytopes. For any field F; a polynomial f in F[x1, x2,..., xk] can be associated with a polytope, called its Newton polytope. If the polynomial f has integrally indecomposable Newton polytope, in the sense of Minkowski sum, then it is absolutely irreducible over F; i.e. irreducible over every algebraic extension of F. We present some new results giving integrally indecomposable classes of polytopes. Conse...
On the deformation chirality of real cubic fourfolds Finashin, Sergey (Wiley, 2009-09-01) According to our previous results, the conjugacy class of the involution induced by the complex conjugation in the homology of a real non-singular cubic fourfold determines the fourfold tip to projective equivalence and deformation. Here, we show how to eliminate the projective equivalence and obtain a pure deformation classification, that is, how to respond to the chirality problem: which cubics are not deformation equivalent to their image under a mirror reflection. We provide an arithmetical criterion of...
Divisibility properties on boolean functions using the numerical normal form Göloğlu, Faruk; Yücel, Melek D; Department of Cryptography (2004) A Boolean function can be represented in several different forms. These different representation have advantages and disadvantages of their own. The Algebraic Normal Form, truth table, and Walsh spectrum representations are widely studied in literature. In 1999, Claude Carlet and Phillippe Guillot introduced the Numerical Normal Form. NumericalNormal Form(NNF) of a Boolean function is similar to Algebraic Normal Form, with integer coefficients instead of coefficients from the two element field. Using NNF re...
On the generating graphs of symmetric groups Erdem, Fuat (Walter de Gruyter GmbH, 2018-07-01) Let S-n and A(n) be the symmetric and alternating groups of degree n, respectively. Breuer, Guralnick, Lucchini, Maroti and Nagy proved that the generating graphs Gamma(S-n) and Gamma(A(n)) are Hamiltonian for sufficiently large n. However, their proof provided no information as to how large n needs to be. We prove that the graphs Gamma(S-n) and Gamma(A(n)) are Hamiltonian provided that n (3) 107.
On the arithmetic of genus two fibrations Kaba, Mustafa D.; Oensiper, Hursit (Institute of Mathematics, Polish Academy of Sciences, 2007-01-01)

Citation Formats

M. Kirezci, “On the structure of universal non-IBN rings Vn,m.,” Ph.D. - Doctoral Program, Middle East Technical University, 1981.