Currently displaying 1 – 20 of 42

Showing per page

Order by Relevance | Title | Year of publication

Special isomorphisms of F [ x 1 , ... , x n ] preserving GCD and their use

Ladislav Skula — 2009

Czechoslovak Mathematical Journal

On the ring R = F [ x 1 , , x n ] of polynomials in n variables over a field F special isomorphisms A ’s of R into R are defined which preserve the greatest common divisor of two polynomials. The ring R is extended to the ring S = F [ [ x 1 , , x n ] ] + and the ring T = F [ [ x 1 , , x n ] ] of generalized polynomials in such a way that the exponents of the variables are non-negative rational numbers and rational numbers, respectively. The isomorphisms A ’s are extended to automorphisms B ’s of the ring S . Using the property that the isomorphisms A ’s preserve GCD it...

Page 1 Next

Download Results (CSV)