Abstract
In this paper we prove that if A is any algebra with involution * satisfying a non-trivial polynomial identity, then its sequence of *-codimensions is eventually non-decreasing. Furthermore, by making use of the *-exponent we reconstruct the only two *-algebras, up to T*-equivalence, generating varieties of almost polynomial growth. As a third result we characterize the varieties of algebras with involution whose exponential growth is bounded by 2.
Lingua originale | English |
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pagine (da-a) | 1-20 |
Numero di pagine | 20 |
Rivista | Israel Journal of Mathematics |
Volume | 239 |
Stato di pubblicazione | Published - 2020 |
All Science Journal Classification (ASJC) codes
- Mathematics(all)