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Information × Registration Number 0212U004184, 0111U005741 , R & D reports Title Algebraic and topological methods of investigation of matrix spaces, matrix groups and topological semi-groups. popup.stage_title Head Dzhalyuk N, Registration Date 31-01-2012 Organization Pidstryhach Institute of Applied Problems of Mechanics and Mathematics NAS of Ukraine popup.description2 The tower method is adapted for zero dimentional spaces of big weight and is obtained classification of asymptotically zero-dimentional asymptotically homogeneous metric spaces. We established the necessary and sufficient conditions, under which from the association of the diagonal blocks of nonsingular block triangular matrices over commutative principal ideal domains follows that corresponding block triangular factorizations of these matrices are associative. The bicyclic extensions of a linearly ordered group are constructed and theirs algebraic properties are investigated. It is proved that for a commutative linearly ordered group all non-trivial congruences on the constructed extensions are group congruences if and only if the group is archimedean. Product Description popup.authors Джалюк Н.С. Зарічний І.М. Павлик К.П. popup.nrat_date 2020-04-02 Close