Specht property for some varieties of Jordan algebras of almost polynomial growth

Fabrizio Martino, Lucio Centrone, Fabrizio Martino, Manuela Da Silva Souza

Risultato della ricerca: Articlepeer review

1 Citazioni (Scopus)

Abstract

Let F be a field of characteristic zero. In [25] it was proved that U J2 , the Jordan algebra of 2 × 2 upper triangular matrices, can be endowed up to isomorphism with either the trivial grading or three distinct non-trivial Z2-gradings or by a Z2 × Z2-grading. In this paper we prove that the variety of Jordan algebras generated by UJ2 endowed with any G-grading has the Specht property, i.e., every TG-ideal containing the graded identities of UJ2 is finitely based. Moreover, we prove an analogue result about the ordinary identities of A1, a suitable infinitely generated metabelian Jordan algebra defined in [27].
Lingua originaleEnglish
pagine (da-a)137-165
Numero di pagine29
RivistaJournal of Algebra
Volume521
Stato di pubblicazionePublished - 2019

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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