This thesis is about finite-dimensional PI-superalgebras with two additional structures: pseudoautomorphism ($p$-algebras) and superinvolution ($\dia$-algebras). After giving the preliminary notions, we will first develop a theory of polynomial identities for $p$-algebras. Then, we will discuss the behavior of the codimension sequence of central polynomials in the context of $\dia$-algebras.
PI-Superalgebras with Graded Linear Maps / Giordani, G.. - (2026 Feb 17).
PI-Superalgebras with Graded Linear Maps
GIORDANI, GINEVRA
2026-02-17
Abstract
This thesis is about finite-dimensional PI-superalgebras with two additional structures: pseudoautomorphism ($p$-algebras) and superinvolution ($\dia$-algebras). After giving the preliminary notions, we will first develop a theory of polynomial identities for $p$-algebras. Then, we will discuss the behavior of the codimension sequence of central polynomials in the context of $\dia$-algebras.File in questo prodotto:
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report.pdf
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Descrizione: PI-Superalgebras with Graded Linear Maps
Tipologia:
Tesi di dottorato
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779.27 kB
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779.27 kB | Adobe PDF | Visualizza/Apri |
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report_1.pdf
accesso aperto
Descrizione: PI-Superalgebras with Graded Linear Maps
Tipologia:
Tesi di dottorato
Dimensione
779.27 kB
Formato
Adobe PDF
|
779.27 kB | Adobe PDF | Visualizza/Apri |
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