δ-Superderivations of simple finite-dimensional Jordan and Lie superalgebras

Locally finite basic classical simple Lie superalgebras

In this work, we study direct limits of finite dimensional basic classical simple Lie superalgebras and obtain the conjugacy classes of Cartan subalgebras under the group of automorphisms.

Classification of Infinite–Dimensional Simple Linearly Compact Lie Superalgebras

Dedicated to the memory of my friend Boris Weisfeiler a remarkable man and mathematician.

Weyl Denominator Identity for Finite-dimensional Lie Superalgebras

Weyl denominator identity for finite-dimensional Lie superalgebras conjectured by V. Kac and M. Wakimoto is proven.

Supercentralizing Superderivations on Prime Superalgebras

Jordan superderivations II

In a recent paper we have extended the classical Herstein's theorem on Jordan derivations on prime rings to Jordan superderivations on prime associative superalgebras. In the present paper we extend this result to semiprime associative superalgebras.