Fundamental Superalgebras with Superinvolution: Exploiting Minimal Varieties
Abstract This paper extends the concept of fundamental superalgebra , crucial in Kemer’s resolution of the Specht problem, to the framework of superalgebras equipped with a superinvolution. We aim to characterize the class of these special algebras and provide concrete examples. Some of them are developed by exploring connections with varieties of superalgebras with superinvolution which are minimal with respect to their corresponding exponent.
Authors
- Antonio Ioppolo (ORCID: https://orcid.org/0000-0003-4774-5483)
- Elena Pascucci (ORCID: https://orcid.org/0009-0000-5057-6671)
Institutions
- University of L'Aquila (IT)
- Sapienza University of Rome (IT)
Publication Details
- Journal
- Algebras and Representation Theory
- Published
- 2025-09-19
- DOI
- https://doi.org/10.1007/s10468-025-10362-5
- Primary Topic
- Advanced Topics in Algebra
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Istituto Nazionale di Alta Matematica "Francesco Severi"
- Sapienza Università di Roma
- Università degli Studi dell'Aquila
- Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni