Domsha O. General diagonal reduction of matricies over the rings of stable range 1

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0412U005672

Thesis Registration Form

0412U005672.pdf

Applicant for

Specialization

  • 01.01.06 - Алгебра і теорія чисел

11-09-2012

Specialized Academic Board

Д 35.051.18

Ivan Franko National University of Lviv

Essay

In this thesis the solution to Levy's problem of descriptions of indecomposable matrices in the class of n-simple Bezout domain, 2-simple Bezout domain of stable range 1 and Ore domains which are Kazimirsky domainsis given; the answer to Lam-Dugas' question on existence of a right quasi-duo-ring which is not left quasi-duo in the class of the rings of weak stable range 1 is given; new classes of elementary divisor rings in the class of commutative Bezout domain in localization in a multiplicative closed set which coresponds to an s-torsion in the sense of Komarnitsky are described.

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