Conference abstracts
Session S05 - Rings and Algebras
July 29, 15:45 ~ 16:10
Graded algebras and polynomial identities
Eli Aljadeff
Technion, Haifa, Israel - elialjadeff@gmail.com
Connections (or ``bridges'') between PI theory (polynomial identities) and group gradings on associative algebras are quite well known for more than 30 years. For instance, Kemer applied the theory of ``super algebras'' in order to solve the famous Specht problem for nonaffine PI algebras. Our interest is in the opposite direction. We apply PI theory in order to solve a conjecture of Bahturin and Regev on ``regular G-gradings'' on associative algebras where G is a finite abelian group. Moreover, we show how to extend it to nonabelian groups. As a second application, we present a Jordan's like theorem on G-gradings on associative algebras.
Joint work with Ofir David (Technion, Israel).