Integral and homothetic indecomposability with applications to irreducibility of polynomials

İntegral And Homothetic İndecomposabilit TO

Article Details

Integral and homothetic indecomposability with applications to irreducibility of polynomials

Authors:

İntegral And Homothetic İndecomposabilit TO

Publisher:

TUBITAK

Journal:

Turkish Journal of Mathematics 2009 Vol.33 Issue 3, pp.283-294

Document Type:

Article

Publication Date:

2/2009

Document Language:

Turkish

Document ID (Org No.):

2000748220

Frequency:

Bimonthly

eISSN:

1303-6149

pISSN:

1300-0098

Keywords:

Abstract:

 

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].

 

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].

Article Details

Integral and homothetic indecomposability with applications to irreducibility of polynomials

Authors:

İntegral And Homothetic İndecomposabilit TO

Publisher:

TUBITAK

Journal:

Turkish Journal of Mathematics 2009 Vol.33 Issue 3, pp.283-294

Document Type:

Article

Publication Date:

2/2009

Document Language:

Turkish

Document ID (Org No.):

2000748220

Frequency:

Bimonthly

eISSN:

1303-6149

pISSN:

1300-0098

Absolute irreducibility

polytopes

integral indecomposability.

Issues

Article Details

Integral and homothetic indecomposability with applications to irreducibility of polynomials

Authors: İntegral And Homothetic İndecomposabilit TO

Publisher: TUBITAK

Journal: Turkish Journal of Mathematics 2009 Vol.33 Issue 3, pp.283-294

Document Type: Article

Publication Date: 2/2009

Document Language: Turkish

Document ID (Org No.): 2000748220

Frequency: Bimonthly

eISSN: 1303-6149

pISSN: 1300-0098

Absolute irreducibility

polytopes

integral indecomposability.

Issues

Authors:

İntegral And Homothetic İndecomposabilit TO

Publisher:

TUBITAK

Journal:

Turkish Journal of Mathematics 2009 Vol.33 Issue 3, pp.283-294

Document Type:

Article

Publication Date:

2/2009

Document Language:

Turkish

Document ID (Org No.):

2000748220

Frequency:

Bimonthly

eISSN:

1303-6149

pISSN:

1300-0098