Add to ORKGThis chapter explains how to compute the codimension of the tangent spaces used in chapters 2 and 3: ideals, and left-right tangent spaces of the form (3.7), both as subsets of the ring of formal power series. For ideals, this can be done by calculating the formal power series equivalent of a Gröbner basis. This idea is generalized and applied to left-right tangent spaces
In this dissertation we study several improvements to algorithms used to generate comprehensive Groe...
Let K be a field with a valuation and let S be the polynomial ring S := K[x1; : : : ; xn]. We discus...
The basic concepts of Gröbner basis of an ideal in the polynomial ring is described. Particularly th...
This chapter explains how to compute the codimension of the tangent spaces used in chapters 2 and 3:...
A basis for an ideal is such that every element in the ideal can be expressed as a linear combinatio...
AbstractThe recent development of Computer Algebra allows us to take up problems of classical Ideal ...
We introduce the basic concepts of Gröbner basis theory and its relations to polytope theory. This ...
An ideal I in a polynomial ring k[x1, . . . ,xn] is a nonempty set which is closed under addition an...
Dissertation (MSc (Mathematics))--University of Pretoria, 2023.In this dissertation we explore the t...
Gröbner basis is a particular kind of a generating set of an ideal in the polynomial ring S = K[x1, ...
AbstractAn algorithm for computing a Gröbner basis of a polynomial ideal over a Euclidean domain is ...
In the ring of polynomials k[x1,... ,xn] every ideal has a\ud special basis known as a Gröbner basis...
AbstractGröbner bases as a means of studying ideals in polynomial rings have been generalized to oth...
AbstractGröbner bases are distinguished sets of generators of ideals in polynomial rings. They can b...
Abstract. This paper will provide a brief introduction to Gröbner bases and some of their applicati...
In this dissertation we study several improvements to algorithms used to generate comprehensive Groe...
Let K be a field with a valuation and let S be the polynomial ring S := K[x1; : : : ; xn]. We discus...
The basic concepts of Gröbner basis of an ideal in the polynomial ring is described. Particularly th...
This chapter explains how to compute the codimension of the tangent spaces used in chapters 2 and 3:...
A basis for an ideal is such that every element in the ideal can be expressed as a linear combinatio...
AbstractThe recent development of Computer Algebra allows us to take up problems of classical Ideal ...
We introduce the basic concepts of Gröbner basis theory and its relations to polytope theory. This ...
An ideal I in a polynomial ring k[x1, . . . ,xn] is a nonempty set which is closed under addition an...
Dissertation (MSc (Mathematics))--University of Pretoria, 2023.In this dissertation we explore the t...
Gröbner basis is a particular kind of a generating set of an ideal in the polynomial ring S = K[x1, ...
AbstractAn algorithm for computing a Gröbner basis of a polynomial ideal over a Euclidean domain is ...
In the ring of polynomials k[x1,... ,xn] every ideal has a\ud special basis known as a Gröbner basis...
AbstractGröbner bases as a means of studying ideals in polynomial rings have been generalized to oth...
AbstractGröbner bases are distinguished sets of generators of ideals in polynomial rings. They can b...
Abstract. This paper will provide a brief introduction to Gröbner bases and some of their applicati...
In this dissertation we study several improvements to algorithms used to generate comprehensive Groe...
Let K be a field with a valuation and let S be the polynomial ring S := K[x1; : : : ; xn]. We discus...
The basic concepts of Gröbner basis of an ideal in the polynomial ring is described. Particularly th...