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

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F09%3APU73088" target="_blank" >RIV/00216305:26210/09:PU73088 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

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

Original language description

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 ofgeneralized 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.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2009

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Czechoslovak Mathematical Journal

ISSN

0011-4642

e-ISSN

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Volume of the periodical

59

Issue of the periodical within the volume

2

Country of publishing house

CZ - CZECH REPUBLIC

Number of pages

13

Pages from-to

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UT code for WoS article

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EID of the result in the Scopus database

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