Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8896563 | Journal of Algebra | 2017 | 27 Pages |
Abstract
In this paper we focus our attention on such algebras since they are the only finite dimensional â-algebras, up to T2â-equivalence, generating varieties of almost polynomial growth, i.e., varieties of exponential growth such that any proper subvariety has polynomial growth. We classify the subvarieties of such varieties by giving a complete list of generating finite dimensional â-algebras. Along the way we classify all minimal varieties of polynomial growth and surprisingly we show that their number is finite for any given growth. Finally we describe the â-algebras whose â-codimensions are bounded by a linear function.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Antonio Ioppolo, Daniela La Mattina,