Fatih KOYUNCU, Ferruf ÖZBUDAK

4672

Integral and homothetic indecomposability with applications to irreducibility of polynomials

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 families of absolutely irreducible multivariate polynomials over any field F. Moreover, we provide different proofs of some of the main results of Gao [2].

Anahtar Kelimeler:

Absolute irreducibility, polytopes, integral indecomposability.

Integral and homothetic indecomposability with applications to irreducibility of polynomials

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 families of absolutely irreducible multivariate polynomials over any field F. Moreover, we provide different proofs of some of the main results of Gao [2].

Keywords:

Absolute irreducibility, polytopes, integral indecomposability.,

Turkish Journal of Mathematics-Cover

ISSN: 1300-0098
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

Arşiv

Sayıdaki Diğer Makaleler

On the geometry of null curves in the minkowski 4-space

R. ASLANER, A. İhsan BORAN

Oscillation of higher-order nonlinear delay differential equations with oscillatory coefficients

Özkan ÖCALAN, Başak KARPUZ, Mustafa Kemal YILDIZ

Strong differential subordination

Georgia Irina OROS, Gheorghe OROS

Partial open book decompositions and the contact class in sutured floer homology

Burak ÖZBAĞCI, Tolga ETGÜ

Ünsal TEKİR, C. JAYARAM

Approximation by certain linear operators preserving x2

Approximation By Certain Linear Operator X

Some inequalities concerning the rate of growth of polynomials

Abdullah MİR, K. K. DEWAN, Naresh SINGH

Integral and homothetic indecomposability with applications to irreducibility of polynomials

Fatih KOYUNCU, Ferruf ÖZBUDAK

Approximation by certain linear operators preserving $x^2$

Lucyna REMPULSKA, Karolina TOMCZAK

Criteria of nilpotency and influence of contranormal subgroups on the structure of infinite groups

Leonid A. KURDACHENKO, Igor Ya SUBBOTIN, Javier OTAL