The duality theory gives a one-to-one correspon- dence between isomorphism classes of 1-connected minimal cochain algebras of finite type and isomorphism classes of connected minimal chain Lie ...

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 ...