Plakhotnyk M. Nonnegative matrices in the rings theory and dynamical systems theory.

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0408U004360

Thesis Registration Form

0408U004360.pdf

Applicant for

Specialization

  • 01.01.06 - Алгебра і теорія чисел

14-10-2008

Specialized Academic Board

Д 26.206.03

The Institute of Mathematics of NASU

Essay

Disertation is devoted to the development and investigation of the research of Exponent matrices as a tool of the description of tiled orders and as a tool of objects description in dynamical systems. The dimension of Kirichenko space is calculated, the problem on the equivalence of ring inequalities and nonnegativeness of elemnts of Kirichenko matrix is solved, the operation of Quasi Kronecker product which saves the matrix property of matrix to be Gorenstein matrix is solved. The doubly ordered sets ans their connection with exponent matrices and dynamical systems are introduced.

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Files

aref-aref.doc

dysert.pdf

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