Publication detail

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

SKULA, L.

Original Title

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

Type

journal article - other

Language

English

Original Abstract

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.

Keywords

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

Authors

SKULA, L.

RIV year

2009

Released

30. 5. 2009

Publisher

ČSAV

Location

Praha

ISBN

0011-4642

Periodical

Czechoslovak Mathematical Journal

Year of study

59

Number

2

State

Czech Republic

Pages from

759

Pages to

771

Pages count

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"
}