On Antiflexible Algebras
نویسندگان
چکیده
In this paper we begin a classification of simple and semisimple totally antiflexible algebras (finite-dimensional) over splitting fields of char. ^2, 3.. For such an algebra A , let P be the largest associative ideal in A and let /V+ be the radical of P. We determine all simple and semisimple totally antiflexible algebras in which N ■ N =0. Defining A to be of type (m, n) if N is nilpotent of class m with dim/1 = n, we then characterize all simple nodal totally antiflexible algebras (over fields of char. f( 2, 3) of types (n, n) and (n — 1, n) and give preliminary results for certain other types.
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