Detail publikačního výsledku

Special Isomorphisms of F[x1,...,xn] Preserving GCD and their Use

SKULA, L.

Originální název

Special Isomorphisms of F[x1,...,xn] Preserving GCD and their Use

Anglický název

Special Isomorphisms of F[x1,...,xn] Preserving GCD and their Use

Druh

Článek recenzovaný mimo WoS a Scopus

Originální abstrakt

Special isomorphisms of the ring R of polynomials with n indeterminates over a field F are investigated and it is shown that these isomorphisms preserve the greatest common divisor of two polynomials. The ring R is etended to the ring S and the ring T of generalized polynomials with rational non-negative and rational powers by indeterminates, respectively- The given isomorphisms of R are also extended on the rings S and T and it is peoved that these isomorphisms preserve the greatestcommon divisor as well. On the basie of these results ir is shown that in the ring T of generalized polynomials each two polynomials has a greatest common divisor.

Anglický abstrakt

Special isomorphisms of the ring R of polynomials with n indeterminates over a field F are investigated and it is shown that these isomorphisms preserve the greatest common divisor of two polynomials. The ring R is etended to the ring S and the ring T of generalized polynomials with rational non-negative and rational powers by indeterminates, respectively- The given isomorphisms of R are also extended on the rings S and T and it is peoved that these isomorphisms preserve the greatestcommon divisor as well. On the basie of these results ir is shown that in the ring T of generalized polynomials each two polynomials has a greatest common divisor.

Klíčová slova

Integral domain of generalized polynomials; the greatest common divisor; Bezout ring; the generalized polynomials with exponents from a vector space..

Klíčová slova v angličtině

Integral domain of generalized polynomials; the greatest common divisor; Bezout ring; the generalized polynomials with exponents from a vector space..

Autoři

SKULA, L.

Rok RIV

2010

Vydáno

30.05.2009

Nakladatel

ČSAV

Místo

Praha

ISSN

0011-4642

Periodikum

CZECHOSLOVAK MATHEMATICAL JOURNAL

Svazek

59

Číslo

2

Stát

Česká republika

Strany od

759

Strany do

771

Strany počet

13

BibTex

@article{BUT45013,
  author="Ladislav {Skula}",
  title="Special Isomorphisms of F[x1,...,xn] Preserving GCD and their Use",
  journal="CZECHOSLOVAK MATHEMATICAL JOURNAL",
  year="2009",
  volume="59",
  number="2",
  pages="759--771",
  issn="0011-4642"
}