| Abstrakt: |
Classifications of varieties of algebras of almost polynomial growth were considered by several authors in different contexts. An algebra graded by a group G and endowed with a graded involution ∗ is called a (G,∗)-algebra. In this paper, we study (G,∗)-algebras when G is a finite abelian group and we classify all varieties generated by finite dimensional (G,∗)-algebras of almost polynomial growth. Along the way, we characterize the finite dimensional simple (G,∗)-algebras and as a consequence, we classify the finite dimensional simple (Cp,∗)-algebras, for an odd prime p, over any algebraically closed field of characteristic zero. [ABSTRACT FROM AUTHOR] |
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