# Search results for: V. M. Bondarenko

Ukrainian Mathematical Journal > 2017 > 69 > 7 > 1034-1050

*K*) over a commutative local principal ideal ring

*K*(whose objects are square monomial matrices and the morphisms from

*X*to

*Y*are matrices

*C*such that

*XC*=

*CY*). We also study the subcategory Mmat

_{0}(

*K*) of the category Mmat(

*K*) with the same objects and solely with morphisms that are monomial matrices.

Ukrainian Mathematical Journal > 2012 > 64 > 7 > 1019-1035

*P*-limit numbers for integer-valued positive-definite quadratic forms with unit coefficients of the squares. It is shown that each of these

*P*-limit numbers is realized in the Tits quadratic form of a certain Dynkin diagram.

Journal of Mathematical Sciences > 2010 > 164 > 1 > 26-48

Ukrainian Mathematical Journal > 2009 > 61 > 5 > 734-746

Ukrainian Mathematical Journal > 2008 > 60 > 9 > 1349-1359

*S*is nonnegative definite if and only if the Tits form of any poset (min, max)-equivalent to

*S*is weakly nonnegative.

Rehionalna ekonomika (Regional Economy) > 2008 > 4(50) > 208-214

Nonlinear Oscillations > 2006 > 9 > 3 > 312-316

Nonlinear Oscillations > 2005 > 8 > 1 > 7-13

Nonlinear Oscillations > 2003 > 6 > 1 > 1-12