Multigraded modules.
Nagata rings and directed unions of Artinian subrings.
Newton and Schinzel sequences in quadratic fields
We give the maximal length of a Newton or a Schinzel sequence in a quadratic extension of a global field. In the case of a number field, the maximal length of a Schinzel sequence is 1, except in seven particular cases, and the Newton sequences are also finite, except for at most finitely many cases, all real. We give the maximal length of these sequences in the special cases. We have similar results in the case of a quadratic extension of a function field , taking in account that the ring of integers...
Normal polytopes, triangulations, and Koszul algebras.
Normality of monomial ideals in two sets of variables.
O čtrnáctém Hilbertově problému
On -fibrations of subalgebras of polynomial algebras
On a formula of Beniamino Segre.
On A Problem Of Samuel
On a theorem by Kronecker.
On a theorem of F. S. Macaulay on colon ideals.
On chains of centered valuations.
On constructing resolutions over the polynomial algebras.
On generating sets of minimal length for polynomial ideals
On local derivations in the Kadison sense
Let k be a field. We prove that any polynomial ring over k is a Kadison algebra if and only if k is infinite. Moreover, we present some new examples of Kadison algebras and examples of algebras which are not Kadison algebras.
On Polynomials and Exponential Polynomials in Several Complex Variables.
On polynomials whose fibres are irreducible with no critical points.
On Prüfer domains of polynomials.
On radical-equivalent and zero-equivalent ideals
On some generalizations of Jacobi's residue formula