4 citations · 6 across the 2 of their papers we have counts for
14 papers · 1 filter
Isomorphisms and derivations of partial flag incidence algebras
Mykola Khrypchenko
Let and be finite posets and a commutative unital ring. In the case where is indecomposable, we prove that the -linear isomorphisms between partial flag incidenc…
Proper Lie automorphisms of incidence algebras
Érica Z. Fornaroli, Mykola Khrypchenko, Ednei A. Santulo
Let be a finite connected poset and a field. We study the question, when all Lie automorphisms of the incidence algebra are proper. Without any restriction on the…
Lie automorphisms of incidence algebras
Érica Z. Fornaroli, Mykola Khrypchenko, Ednei A. Santulo
Let be a finite connected poset and a field. We give a full description of the Lie automorphisms of the incidence algebra . In particular, we show that they are in…
The algebraic classification of nilpotent algebras
Ivan Kaygorodov, Mykola Khrypchenko, Samuel A. Lopes
We give the complete algebraic classification of all complex 4-dimensional nilpotent algebras. The final list has 234 (parametric families of) isomorphism classes of algebras, 66 o…
Poisson Structures on Finitary Incidence Algebras
Ivan Kaygorodov, Mykola Khrypchenko
We give a full description of the Poisson structures on the finitary incidence algebra of an arbitrary poset over a commutative unital ring .
The geometric classification of nilpotent -algebras
Ivan Kaygorodov, Mykola Khrypchenko
We give a geometric classification of complex -dimensional nilpotent -algebras. The corresponding geometric variety has dimension 18 and decomposes into irred…