88 citations · 107 across the 6 of their papers we have counts for
6 papers
Topological classification of sesquilinear forms: reduction to the nonsingular case
Carlos M. da Fonseca, Tetiana Rybalkina, Vladimir V. Sergeichuk
Two sesquilinear forms and are called topologically equivalent if there exists a homeomo…
Topological classification of oriented cycles of linear mappings
Tetiana Rybalkina, Vladimir V. Sergeichuk
We consider the problem of classifying oriented cycles of linear mappings over a field of complex or real numbers up to homeomorphisms in the…
Topological classification of Mobius transformations
Tetiana Rybalkina, Vladimir V. Sergeichuk
Linear fractional transformations on the extended complex plane are classified up to topological conjugacy. Recall that two transformations f and g are called topologically conjuga…
Topological classification of chains of linear mappings
Tetiana Rybalkina, Vladimir V. Sergeichuk
We prove that two chains of linear mappings are topologically isomorphic if and only if they are linearly isomorphic.
Classification problems for system of forms and linear mappings
Vladimir V. Sergeichuk
We devise a method that reduces the problem of classifying systems of forms and linear mappings to the problem of classifying systems of linear mappings. Canonical matrices of (i)…
Existence of a multiplicative basis for a finitely spaced module over an aggregate
Andrej V. Roiter, Vladimir V. Sergeichuk
By [R. Bautista, P. Gabriel, A.V Roiter., L. Salmeron, Representation-finite algebras and multiplicative basis. Invent. Math. 81 (1985) 217-285.], a finite-dimensional algebra havi…