3 papers
math.RA2009
Gradings on simple algebras of finitary matrices
Yuri Bahturin, Mikhail Zaicev
We describe gradings by finite abelian groups on the associative algebras of infinite matrices with finitely many nonzero entries, over an algebraically closed field of characteris…
math.RA2006
Involutions on graded matrix algebras
Yuri Bahturin, Mikhail Zaicev
In this paper we describe graded automorphisms and antiautomorphisms of finite order on matrix algebras endowed with a group gradings by a finite abelian group over an arbitrary al…
math.RA2005
Finite dimensional graded simple algebras
Y. A. Bahturin, S. K. Sehgal, M. V. Zaicev
Let be a finite-dimensional algebra over an algebraically closed field graded by an arbitrary group . We prove that is a graded division algebra if and only if it is…