Hopf algebras blend algebraic and coalgebraic structures to generalise the symmetry frameworks of groups, Lie algebras and algebraic groups. Initially emerging in algebraic topology for the study of ...

Algebraic structures, ranging from groups and rings to modules and fields, constitute the foundation of modern mathematics. Among these, Hopf algebras have emerged as pivotal constructions that ...

This study extends algebraic perspectives to non-topological closure spaces by introducing Hopf structures. We define closure Hopf spaces and groups, investigate their properties, and explore homotopy ...

Scholarly Interests: Hopf algebras, deformations and extensions; Algebraic & geometric aspects of multiparameter spectral theory and Matrix algebras & matrix groups. On Bimeasurings, (with M. Mastnak) ...