Polynomial identities with involution, superinvolutions and the Grassmann envelope

Antonino Giambruno, Yakov Karasik, Eli Aljadeff

Risultato della ricerca: Articlepeer review

12 Citazioni (Scopus)

Abstract

Let A be an algebra with involution ∗ over a field of characteristic zero. We prove that in case A satisfies a non-trivial ∗-identity, then A has the same ∗-identities as the Grassmann envelope of a finite dimensional superalgebra with superinvolution. As a consequence we give a positive answer to the Specht problem for algebras with involution, i.e., any T-ideal of identities of an algebra with involution is finitely generated as a T-ideal.
Lingua originaleEnglish
pagine (da-a)1843-1857
Numero di pagine15
RivistaProceedings of the American Mathematical Society
Volume145
Stato di pubblicazionePublished - 2017

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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