AbstractWe characterise the class of one-cogenerated Pfaffian ideals whose natural generators form a Gröbner basis with respect to any anti-diagonal term order. We describe their initial ideals as well as the associated simplicial complexes, which turn out to be shellable and thus Cohen–Macaulay. We also provide a formula for computing their multiplicity
The basic notions of a theory of Gröbner bases for ideals in the non-associative, noncommutative alg...
Gröbner basis is a particular kind of a generating set of an ideal in the polynomial ring S = K[x1, ...
We introduce the basic concepts of Gröbner basis theory and its relations to polytope theory. This ...
We characterise the class of one-cogenerated Pfaffian ideals whose natural generators form a Gröbner...
We characterise the class of one-cogenerated Pfaffian ideals whose natural generators form a Groebne...
We characterise the class of one-cogenerated Pfaffian ideals whose natural generators form a Groebne...
AbstractWe characterise the class of one-cogenerated Pfaffian ideals whose natural generators form a...
Ideals generated by pfaffians are of interest in commutative algebra and algebraic geometry, as well...
Let <σ be a sequential term ordering of the set T of all monomials in the variables x1,…xn.The autho...
Gröbner basis is a particular kind of a generating set of an ideal in the polynomial ring S = K[x1, ...
AbstractMonomial ideals which are generic with respect to either their generators or irreducible com...
In the ring of polynomials k[x1,... ,xn] every ideal has a\ud special basis known as a Gröbner basis...
AbstractComprehensive Gröbner bases for parametric polynomial ideals were introduced, constructed, a...
Following Buchberger's approach to computing a Gröbner basis of a poly-nomial ideal in polynomial ri...
AbstractSince Buchberger introduced the theory of Gröbner bases in 1965 it has become an important t...
The basic notions of a theory of Gröbner bases for ideals in the non-associative, noncommutative alg...
Gröbner basis is a particular kind of a generating set of an ideal in the polynomial ring S = K[x1, ...
We introduce the basic concepts of Gröbner basis theory and its relations to polytope theory. This ...
We characterise the class of one-cogenerated Pfaffian ideals whose natural generators form a Gröbner...
We characterise the class of one-cogenerated Pfaffian ideals whose natural generators form a Groebne...
We characterise the class of one-cogenerated Pfaffian ideals whose natural generators form a Groebne...
AbstractWe characterise the class of one-cogenerated Pfaffian ideals whose natural generators form a...
Ideals generated by pfaffians are of interest in commutative algebra and algebraic geometry, as well...
Let <σ be a sequential term ordering of the set T of all monomials in the variables x1,…xn.The autho...
Gröbner basis is a particular kind of a generating set of an ideal in the polynomial ring S = K[x1, ...
AbstractMonomial ideals which are generic with respect to either their generators or irreducible com...
In the ring of polynomials k[x1,... ,xn] every ideal has a\ud special basis known as a Gröbner basis...
AbstractComprehensive Gröbner bases for parametric polynomial ideals were introduced, constructed, a...
Following Buchberger's approach to computing a Gröbner basis of a poly-nomial ideal in polynomial ri...
AbstractSince Buchberger introduced the theory of Gröbner bases in 1965 it has become an important t...
The basic notions of a theory of Gröbner bases for ideals in the non-associative, noncommutative alg...
Gröbner basis is a particular kind of a generating set of an ideal in the polynomial ring S = K[x1, ...
We introduce the basic concepts of Gröbner basis theory and its relations to polytope theory. This ...