Trace identities and almost polynomial growth

Daniela La Mattina, Antonio Ioppolo, Plamen Koshlukov, Antonio Ioppolo

Risultato della ricerca: Articlepeer review

Abstract

In this paper we study algebras with trace and their trace polynomial identities over a field of characteristic 0. We consider two commutative matrix algebras: D2, the algebra of 2×2 diagonal matrices and C2, the algebra of 2×2 matrices generated by e11+e22 and e12. We describe all possible traces on these algebras and we study the corresponding trace codimensions. Moreover we characterize the varieties with trace of polynomial growth generated by a finite dimensional algebra. As a consequence, we see that the growth of a variety with trace is either polynomial or exponential.
Lingua originaleEnglish
pagine (da-a)1-20
Numero di pagine20
RivistaJournal of Pure and Applied Algebra
Volume225
Stato di pubblicazionePublished - 2021

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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