An algebraic duality theory is developed between 1-connected minimal cochain algebras of finite type and connected minimal chain Lie algebras of finite type by means of twisting cochains. The duality ...

We show that the numerical index of an L-embedded space and that of its dual coincide. In particular, the numerical index of the predual of a real or complex von Neumann algebra or JBW*-triple ...

The study of Gorenstein algebras has emerged as a cornerstone of modern algebra, offering a powerful paradigm in which duality and symmetry in module theory can be rigorously examined. These algebras ...