On support varieties and tensor products for finite dimensional algebras

On tensor analogues of commuting automorphisms and central automorphisms

“…Since the concept of tensor product holds a number of applications in many other branches of group theory as well as certain other fields of mathematics, it had been one of the concerns to many recent studies. For further research you may consider [14], [2], [3]. The following lemmas are very important in non-abelian tensor square and frequently used in this paper.…”