The main focus is Lie algebra, Liebniz algebra, Hopf algebra, K-theory algebra, algebraic Topology and Homological algebra. The structural theory of Lie algebras is one of the most developed branches of modern algebra. It has been deeply investigated for many years by mathematicians and theoretical physicists. The results of the researches germinated new classes of algebras closely related to Lie algebras. One of this kind generalization is the class of Leibniz algebras. Leibniz algebras are "nonantisymmetric" analogue of the Lie algebras. The research concerns the classification problem of finite dimensional Leibniz algebras, finding the isomorphism classes and invariants of Leibniz algebras, classification problems of Diassociative and Dendriform algebras, to study properties of Armendariz and Gamma-rings and their generalizations.

Field of study: Pure Mathematics

Updated:: 18/01/2021 [nashrin]