4 papers · 1 filter
Totally compatible structures on the radical of an incidence algebra
Mykola Khrypchenko
We describe totally compatible structures on the Jacobson radical of the incidence algebra of a finite poset over a field. We show that such structures are in general non-proper.
Homology and cohomology of crossed products by inverse monoid actions and Steinberg algebras
Mikhailo Dokuchaev, Mykola Khrypchenko, Juan Jacobo Simón
Given a unital action of an inverse monoid on an algebra over a filed we produce (co)homology spectral sequences which converge to the Hochschild (co)homology of t…
The geometric classification of non-associative algebras: a survey
Ivan Kaygorodov, Mykola Khrypchenko, Pilar Páez-Guillán
This is a survey on the geometric classification of different varieties of algebras (nilpotent, nil-, associative, commutative associative, cyclic associative, Jordan, Kokoris, sta…
Invertibility preservers of finitary incidence algebras
Jorge J. Garcés, Mykola Khrypchenko
Let be an arbitrary poset and an arbitrary field. We describe linear unital invertibility preservers of the finitary incidence algebra in terms of certain maps of…