A characterization of *-minimal algebras with involution

作者：Di Vincenzo Onofrio Mario^*; Spinelli Ernesto

来源：Israel Journal of Mathematics, 2011, 186(1): 381-400.

DOI：10.1007/s11856-011-0144-z

Let (A, *) be a *-PI algebra with involution over a field of characteristic zero and let c (m) (A, *) denote its m-th *-codimension. Giambruno and Zaicev, in [10], proved that, if A is finite dimensional, there exists the lim(m ->infinity) m root cm(A,*), and it is an integer, which is called the *-exponent of A. As a consequence of the presence of this invariant, in a natural manner in [2] the definition of *-minimal algebra was introduced. Our goal in this paper is to characterize, up to *-PI equivalence, *-minimal algebras.

• 出版日期2011-11