AbstractIn this paper, we extend the notion of “dynamical Gröbner bases” introduced by the second author to Dedekind rings (with zero divisors). As an application, we dynamically solve the ideal membership problem and compute a generating set for the syzygy module over multivariate polynomial rings with coefficients in Dedekind rings. We also give a partial positive answer to a conjecture about Gröbner rings
Gröbner basis is a particular kind of a generating set of an ideal in the polynomial ring S = K[x1, ...
AbstractGröbner bases are distinguished sets of generators of ideals in polynomial rings. They can b...
AbstractSince Buchberger introduced the theory of Gröbner bases in 1965 it has become an important t...
In this paper, we extend the notion of “dynamical Gröbner bases ” introduced by the second author t...
AbstractIn this paper, we introduce the notion of “dynamical Gröbner bases” of polynomial ideals ove...
AbstractIn this paper, we introduce the notion of “dynamical Gröbner bases” of polynomial ideals ove...
In this paper, I present a new decision procedure for the ideal membership problem for polyno-mial r...
The theory of Gröbner bases has become a useful tool in computational commutative algebra. In this p...
The main goal of this book is to find the constructive content hidden in abstract proofs of concrete...
In this paper, I present a new decision procedure for the ideal membership problem for polynomial ...
In the ring of polynomials k[x1,... ,xn] every ideal has a\ud special basis known as a Gröbner basis...
In this paper, I present a new decision procedure for the ideal membership problem for polynomial ...
AbstractIn this paper we will define analogs of Gröbner bases forR-subalgebras and their ideals in a...
AbstractWe study modules over the ring D0 of differential operators with power series coefficients. ...
AbstractWe study modules over the ring D0 of differential operators with power series coefficients. ...
Gröbner basis is a particular kind of a generating set of an ideal in the polynomial ring S = K[x1, ...
AbstractGröbner bases are distinguished sets of generators of ideals in polynomial rings. They can b...
AbstractSince Buchberger introduced the theory of Gröbner bases in 1965 it has become an important t...
In this paper, we extend the notion of “dynamical Gröbner bases ” introduced by the second author t...
AbstractIn this paper, we introduce the notion of “dynamical Gröbner bases” of polynomial ideals ove...
AbstractIn this paper, we introduce the notion of “dynamical Gröbner bases” of polynomial ideals ove...
In this paper, I present a new decision procedure for the ideal membership problem for polyno-mial r...
The theory of Gröbner bases has become a useful tool in computational commutative algebra. In this p...
The main goal of this book is to find the constructive content hidden in abstract proofs of concrete...
In this paper, I present a new decision procedure for the ideal membership problem for polynomial ...
In the ring of polynomials k[x1,... ,xn] every ideal has a\ud special basis known as a Gröbner basis...
In this paper, I present a new decision procedure for the ideal membership problem for polynomial ...
AbstractIn this paper we will define analogs of Gröbner bases forR-subalgebras and their ideals in a...
AbstractWe study modules over the ring D0 of differential operators with power series coefficients. ...
AbstractWe study modules over the ring D0 of differential operators with power series coefficients. ...
Gröbner basis is a particular kind of a generating set of an ideal in the polynomial ring S = K[x1, ...
AbstractGröbner bases are distinguished sets of generators of ideals in polynomial rings. They can b...
AbstractSince Buchberger introduced the theory of Gröbner bases in 1965 it has become an important t...