Speciality:
01.01.06 (Mathematical logic, algebra, and number theory)
E-mail: Keywords: Non-associative algebras and superalgebras.
Subject:
Non-associative algebraic stuctures
(Jordan algebras and superalgebras,
Lie algebras and superalgebras,
Malcev algebras and superalgebras,
Alternative algebras and superalgebras,
Structurable algebras and superalgebras,
Zinbiel algebras and superalgebras,
Leibniz algebras and superalgebras,
Terminal algebras and superalgebras,
Conservative algebras and superalgebras,
n-ary algebras and superalgebras,
Filippov algebras,
Poisson algebras and superalgebras and their generalizations;
derivations and generalized derivations,
automorphisms and generalized automorphisms,
Rota-Baxter operatos and other liner and non-linear mappings).
Main publications:
Ivan Kaygorodov & Yury Volkov, Complete classification of algebras of level two,
Moscow Mathematical Journal,19 (2019), 3, 485–521.
Ivan Kaygorodov & Yury Volkov, “The variety of 2-dimensional algebras over an algebraically closed field”,
Canadian Journal of Mathematics, 71 (2019), 4, 819–842.
Ivan Kaygorodov & Yury Popov, Split RegularHom-Leibniz Color 3-Algebras,
Colloquium Mathematicum,157 (2019), 2, 251–278.
Ivan Kaygorodov & Yury Popov, A characterization of nilpotent nonassociative algebras by invertible Leibniz-derivations,
Journal of Algebra, 456, (2016), 323–347.
Ivan Kaygorodov & Yury Popov, Generalized derivations of (color) n-ary algebras,
Linear and Multilinear Algebra, 64 (2016), 6, 1086–1106.
