Alexander G. Zavadskij
Highly Influential Citations3
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Abstract We consider some classification problems of Linear Algebra related closely to the classical Kronecker Problem on pairs of linear maps between two finite-dimensional vector spaces. As shown… Continue Reading
A new short solution of the known Four Subspace Problem over an arbitrary field is presented.
Abstract Let F ⊂ G = F ( u ) be a central quadratic skew field extension (such that the generator u is central in G ) and W = G ⊗ F G a natural ( G , G ) -bimodule. We deal with the matrix problem on… Continue Reading
Corepresentations of equipped posets over the pair (F;G) are intro- duced and studied, where F ‰ G is a quadratic fleld extension. The reduction algorithms d and Completion for corepresentations… Continue Reading
Generalized equipped posets and their representations over a Galois field extension K⊂L are introduced and studied. An equipment of a poset P is a pair (Δ,S) consisting of a finite group Δ and a… Continue Reading
It is presented a complete categorical description of one of the main differentiation algorithms for representations of posets with involution — Differentiation II — constructed originally by the… Continue Reading