AbstractIn this paper, we study conditions on algebras with multiplicative bases so that there is a Gröbner basis theory. We introduce right Gröbner bases for a class of modules. We give an elimination theory and intersection theory for right submodules of projective modules in path algebras. Solutions to homogeneous systems of linear equations with coefficients in a quotient of a path algebra are studied via right Gröbner basis theory
AbstractReduction rings are rings in which the Gröbner bases approach is possible, i.e., the Gröbner...
Let V and W be two vector spaces over a base field F. It is said that V is a module over W if it is ...
In this paper we generalize some basic applications of Gröbner bases in commutative polynomial rings...
AbstractIn this paper, we study conditions on algebras with multiplicative bases so that there is a ...
A basis for an ideal is such that every element in the ideal can be expressed as a linear combinatio...
In the ring of polynomials k[x1,... ,xn] every ideal has a\ud special basis known as a Gröbner basis...
AbstractIn this paper, we present new mathematical results and several new algorithm for solving a s...
This paper will explore the use and construction of Gröbner bases through Buchberger\u27s algorithm....
We study Groebner bases and their applications in our thesis. We give a detailed proof of Dickson\u2...
The theory of Gröbner bases has become a useful tool in computational commutative algebra. In this p...
Gröbner basis is a particular kind of a generating set of an ideal in the polynomial ring S = K[x1, ...
AbstractIn 1965, Buchberger introduced the notion of Gröbner bases for a polynomial ideal and an alg...
Gröbner basis is a particular kind of a generating set of an ideal in the polynomial ring S = K[x1, ...
AbstractWe give an account of the theory of Gröbner bases for Clifford and Grassmann algebras, both ...
AbstractIn this paper, we introduce the notion of “dynamical Gröbner bases” of polynomial ideals ove...
AbstractReduction rings are rings in which the Gröbner bases approach is possible, i.e., the Gröbner...
Let V and W be two vector spaces over a base field F. It is said that V is a module over W if it is ...
In this paper we generalize some basic applications of Gröbner bases in commutative polynomial rings...
AbstractIn this paper, we study conditions on algebras with multiplicative bases so that there is a ...
A basis for an ideal is such that every element in the ideal can be expressed as a linear combinatio...
In the ring of polynomials k[x1,... ,xn] every ideal has a\ud special basis known as a Gröbner basis...
AbstractIn this paper, we present new mathematical results and several new algorithm for solving a s...
This paper will explore the use and construction of Gröbner bases through Buchberger\u27s algorithm....
We study Groebner bases and their applications in our thesis. We give a detailed proof of Dickson\u2...
The theory of Gröbner bases has become a useful tool in computational commutative algebra. In this p...
Gröbner basis is a particular kind of a generating set of an ideal in the polynomial ring S = K[x1, ...
AbstractIn 1965, Buchberger introduced the notion of Gröbner bases for a polynomial ideal and an alg...
Gröbner basis is a particular kind of a generating set of an ideal in the polynomial ring S = K[x1, ...
AbstractWe give an account of the theory of Gröbner bases for Clifford and Grassmann algebras, both ...
AbstractIn this paper, we introduce the notion of “dynamical Gröbner bases” of polynomial ideals ove...
AbstractReduction rings are rings in which the Gröbner bases approach is possible, i.e., the Gröbner...
Let V and W be two vector spaces over a base field F. It is said that V is a module over W if it is ...
In this paper we generalize some basic applications of Gröbner bases in commutative polynomial rings...
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