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Comparing the ℤ 2-Graded Identities of Two Minimal Superalgebras with the Same Superexponent

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Abstract

Let F be a field of characteristic zero. We study two minimal superalgebras A and B having the same superexponent but such that T 2 (A) ⫋ T 2 (B), thus providing the first example of a minimal superalgebra generating a non minimal supervariety. We compare the structures and codimension sequences of A and B.

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Authors and Affiliations

  1. Dipartimento di Matematica, Informatica ed Economia, Università degli Studi della Basilicata, viale dell’Ateneo Lucano 10, 85100, Potenza, Italy

    Onofrio M. Di Vincenzo

  2. Dipartimento di Matematica, Università degli Studi di Bari, via Orabona 4, 70125, Bari, Italy

    Vincenzo Nardozza

Authors
  1. Onofrio M. Di Vincenzo
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  2. Vincenzo Nardozza
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Correspondence to Vincenzo Nardozza.

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Presented by Susan Montgomery.

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Di Vincenzo, O.M., Nardozza, V. Comparing the ℤ 2-Graded Identities of Two Minimal Superalgebras with the Same Superexponent. Algebr Represent Theor 20, 1505–1529 (2017). https://doi.org/10.1007/s10468-017-9698-8

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  • DOI: https://doi.org/10.1007/s10468-017-9698-8

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