Composition is the operation of replacing variables in a polynomial with other polynomials. The main question of this paper is: When does composition commute with Groebner basis computation? We prove that this happens iff the composition is ‘compatible’ with the term ordering and the nondivisibility. This has a natural application in the computation of Groebner bases of composed polynomials which often arises in real-life problems. c ○ 1998 Academic Press Limite
Modular composition is the problem to compose two univariate polynomials modulo a third one. For pol...
In this preliminary report, we introduce a method to find a term order such that the given set of po...
Summary. We continue the formalization of Groebner bases following the book “Groebner Bases – A Comp...
AbstractComposition is the operation of replacing variables in a polynomial with other polynomials. ...
In this paper we contribute with one main result to the interesting problem initiated by Hong (1998,...
AbstractComposition is an operation of replacing a variable in a polynomial with another polynomial....
AbstractPolynomial composition is the operation of replacing variables in a polynomial by other poly...
AbstractIn this paper we contribute with one main result to the interesting problem initiated by Hon...
AbstractComposition is an operation of replacing a variable in a polynomial with another polynomial....
Polynomial composition is the operation of replacing the variables in a polynomial with other polyno...
It is a well known fact that the resultants are invariant under translation. We extend this fact to ...
AbstractPolynomial composition is the operation of replacing variables in a polynomial by other poly...
Modular composition is the problem to compose two univariate polynomials modulo a third one. For pol...
Modular composition is the problem to compose two univariate polynomials modulo a third one. For pol...
Modular composition is the problem to compose two univariate polynomials modulo a third one. For pol...
Modular composition is the problem to compose two univariate polynomials modulo a third one. For pol...
In this preliminary report, we introduce a method to find a term order such that the given set of po...
Summary. We continue the formalization of Groebner bases following the book “Groebner Bases – A Comp...
AbstractComposition is the operation of replacing variables in a polynomial with other polynomials. ...
In this paper we contribute with one main result to the interesting problem initiated by Hong (1998,...
AbstractComposition is an operation of replacing a variable in a polynomial with another polynomial....
AbstractPolynomial composition is the operation of replacing variables in a polynomial by other poly...
AbstractIn this paper we contribute with one main result to the interesting problem initiated by Hon...
AbstractComposition is an operation of replacing a variable in a polynomial with another polynomial....
Polynomial composition is the operation of replacing the variables in a polynomial with other polyno...
It is a well known fact that the resultants are invariant under translation. We extend this fact to ...
AbstractPolynomial composition is the operation of replacing variables in a polynomial by other poly...
Modular composition is the problem to compose two univariate polynomials modulo a third one. For pol...
Modular composition is the problem to compose two univariate polynomials modulo a third one. For pol...
Modular composition is the problem to compose two univariate polynomials modulo a third one. For pol...
Modular composition is the problem to compose two univariate polynomials modulo a third one. For pol...
In this preliminary report, we introduce a method to find a term order such that the given set of po...
Summary. We continue the formalization of Groebner bases following the book “Groebner Bases – A Comp...