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 proved that, if A is finite dimensional, there exists the lim c_m(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 the definition of ∗-minimal algebra was introduced. Our goal in this paper is to characterize, up to ∗-PI equivalence, ∗-minimal algebras.
A characterization of *-minimal algebras with involution
DI VINCENZO, Onofrio Mario;
2011-01-01
Abstract
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 proved that, if A is finite dimensional, there exists the lim c_m(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 the definition of ∗-minimal algebra was introduced. Our goal in this paper is to characterize, up to ∗-PI equivalence, ∗-minimal algebras.File in questo prodotto:
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