AbstractLetRbe a Noetherian commutative ring with identity,Ka field and π a ring homomorphism fromRtoK. We investigate for which ideals inR[x1,…,xn] and admissible orders the formation of leading monomial ideals commutes with the homomorphism π
AbstractIn this paper we consider a free associative algebra on three generators over an arbitrary f...
AbstractClassically, Gröbner bases are computed by first prescribing a fixed monomial order. Moss Sw...
AbstractThis article gives a short introduction to the theory of Gröbner bases in a class of rings, ...
AbstractLetRbe a Noetherian commutative ring with identity,Ka field and π a ring homomorphism fromRt...
Let R be a Noetherian commutative ring with identity, K a field and π a ring homomorphism from R to ...
AbstractIn this paper we introduce an algebra embedding ι:K〈X〉→S from the free associative algebra K...
AbstractIfKis a field, let the ringR′consist of finite sums of homogeneous elements inR=K[[x1,x2,x3,...
In this paper, we consider a monomial ideal J in P := A[x1,...,xn], over a commutative ring A, and w...
AbstractLetXbe a non-commutative monoid with term order; letRbe a commutative, unital ring; letIbe a...
AbstractWe introduce the theory of monoidal Gröbner bases, a concept which generalizes the familiar ...
AbstractIn this paper we will define analogs of Gröbner bases forR-subalgebras and their ideals in a...
AbstractGröbner bases are distinguished sets of generators of ideals in polynomial rings. They can b...
AbstractGeneric linkage is used to compute a prime ideal such that the radical of the initial ideal ...
This thesis gives background information on algebra and Gröbner bases to solve the following problem...
AbstractA usual technique in computational commutative algebra is to reduce the computation of invar...
AbstractIn this paper we consider a free associative algebra on three generators over an arbitrary f...
AbstractClassically, Gröbner bases are computed by first prescribing a fixed monomial order. Moss Sw...
AbstractThis article gives a short introduction to the theory of Gröbner bases in a class of rings, ...
AbstractLetRbe a Noetherian commutative ring with identity,Ka field and π a ring homomorphism fromRt...
Let R be a Noetherian commutative ring with identity, K a field and π a ring homomorphism from R to ...
AbstractIn this paper we introduce an algebra embedding ι:K〈X〉→S from the free associative algebra K...
AbstractIfKis a field, let the ringR′consist of finite sums of homogeneous elements inR=K[[x1,x2,x3,...
In this paper, we consider a monomial ideal J in P := A[x1,...,xn], over a commutative ring A, and w...
AbstractLetXbe a non-commutative monoid with term order; letRbe a commutative, unital ring; letIbe a...
AbstractWe introduce the theory of monoidal Gröbner bases, a concept which generalizes the familiar ...
AbstractIn this paper we will define analogs of Gröbner bases forR-subalgebras and their ideals in a...
AbstractGröbner bases are distinguished sets of generators of ideals in polynomial rings. They can b...
AbstractGeneric linkage is used to compute a prime ideal such that the radical of the initial ideal ...
This thesis gives background information on algebra and Gröbner bases to solve the following problem...
AbstractA usual technique in computational commutative algebra is to reduce the computation of invar...
AbstractIn this paper we consider a free associative algebra on three generators over an arbitrary f...
AbstractClassically, Gröbner bases are computed by first prescribing a fixed monomial order. Moss Sw...
AbstractThis article gives a short introduction to the theory of Gröbner bases in a class of rings, ...
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