2 citations · 5 across the 6 of their papers we have counts for
6 papers
Symmetric polynomials and exterior power of a polynomial ring in one variable
Timur R. Seifullin
In this article we consider the exterior power and the symmetric tensors of the polynomial ring in one variable. The structure of an associative semigraded algebra of this polynomi…
Koszul complexes of embedded systems of polynomials and duality
Timur R. Seifullin
The object of the paper is the dependence of Koszul complexes and dependence of dual Koszul complexes of two systems of non-homogeneous polynomials, when one system is a part of ot…
Homology of the Koszul complex of a system of polynomial equations
Timur R. Seifullin
For a system of non-homogeneous polynomials it was constructed explicit complex morphism of a dual complex to the Koszul complex into the Koszul complex. If the ideal of these poly…
Determination of the basis of the space of all root functionals of a system of polynomial equations and of the basis of its ideal by the operation of the extension of bounded root functionals
Timur R. Seifullin
It is proposed the algorithm that find a basis of the ideal and a basis of the space of all root functionals by using the extension operation for bounded root functionals, when the…
Continuation of root functionals of a system of polynomial equations and the reduction of polynomials modulo its ideal
Timur R. Seifullin
The notion of a root functional of polynomials is a generalization of the notion of a root for a multiple root. A root functional is a linear functional that is defined on a polyno…
Extension of bounded root functionals of a system of polynomial equations
Timur R. Seifullin
The notion of a root functional of a system of polynomials or ideal of polynomials is a generalization of the notion of a root, in particular, for a multiple root. A root functiona…