Igor Germanovich Korepanov

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Questions related from Igor Germanovich Korepanov

What other interesting set-theoretical matrices are known?

Let X be a finite set, and 2X the set of its subsets. 1. Let A = (AST) be a square matrix where S,T ∈ 2X, and its entries AST = 1 if S ⊆ T, and 0 otherwise. 2. Let B = (BST) be a square matrix...

06 June 2017 852 3 View

Can a complicated algebraic function be proved to be identical zero, based on a reasonable number of its zero values for some tuples of arguments?

Suppose there is a polynomial P(x) of degree ≤ n (and in characteristic zero). Then, if P(x) takes value 0 for n+1 different values of x, then all its coefficients are actually zeros. Let,...

23 December 2016 5,327 18 View

Singular and Macaulay2: which is better?

Has anyone actually compared them on a specific problem?

24 January 2015 5,603 7 View

How can i perform factorization in a quadratic extension of polynomial ring?

Let there be a ring r of polynomials in six indeterminates t,u,v,w,x,y with complex numbers as coefficients. Take then a quadratic extension (if this is the right word) R of r by adding a new...

07 December 2014 3,155 1 View