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math.RA2021
On equivalence classes of homotopes of algebras and trilinear forms
Sergey Guminov, Ilya Zhdanovskiy
A homotope, or a mutation, of a -algebra is a new algebra with the same underlying space, but with the multiplication law dependent on the multiplication law of the original alg…
math.RA2020
Homotopes of finite-dimensional algebras
Ilya Zhdanovskiy
In this article we study homotopes of finite-dimensional algebras (not necessarily, associative). In the case of associative algebras we study homotopes by methods of Category theo…
math.RA2015
Coherence of relatively quasi-free algebras
Alexey Bondal, Ilya Zhdanovskiy
We prove coherence of relatively quasi-free algebras over noetherian rings. Chase criterion for coherence is used.