Superalgebras with superinvolution
type: CreativeWork
description: The purpose of this thesis is to present in the setting of superalgebras with superinvolution some of the most interesting and challenging problems of combinatorial PI-theory (the theory of polynomial identities), which have already been addressed in the field of associative algebras or of algebras with involution. More precisely, I shall characterize the varieties of superalgebras with superinvolution of polynomial growth and along the way I shall classify the subvarieties of the varieties of almost polynomial growth. Finally I shall find standard identities of minimal degree in the setting of matrix superalgebras with superinvolution and in this way I shall show that the Amitsur-Levitzki theorem can be improved by considering only certain kinds of matrices.
abstract: The purpose of this thesis is to present in the setting of superalgebras with superinvolution some of the most interesting and challenging problems of combinatorial PI-theory (the theory of polynomial identities), which have already been addressed in the field of associative algebras or of algebras with involution. More precisely, I shall characterize the varieties of superalgebras with superinvolution of polynomial growth and along the way I shall classify the subvarieties of the varieties of almost polynomial growth. Finally I shall find standard identities of minimal degree in the setting of matrix superalgebras with superinvolution and in this way I shall show that the Amitsur-Levitzki theorem can be improved by considering only certain kinds of matrices.
author: IOPPOLO, ANTONIO
language: eng
keywords: polynomial identities, superinvolutions, growth, standard polynomials
date published: 2017-01-24
date modified: 2026-07-24T01:34:51Z
provider: Università degli Studi di Catania
publisher: Networked Digital Library of Theses and Dissertations
type: WebPage
source organization: Università degli studi di Catania

PropertyValue
property ID: Handle
value: https://hdl.handle.net/20.500.11769/582729