Superalgebras with superinvolution

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.

Grantor dc:publisher

Università degli studi di Catania

Year dc:date

2017

Author dc:creator

• IOPPOLO, ANTONIO

Contributors dc:contributor

• RUSSO GIOVANNI

• polynomial identities, superinvolutions, growth, standard polynomials

Statement dc:rights

• info:eu-repo/semantics/openAccess
• license:PUBBLICO - Pubblico con Copyright
• license uri:iris.PUB02

Language dc:language

eng

Handle dc:identifier

https://hdl.handle.net/20.500.11769/582729

OAI identifier oai:identifier

oai:www.iris.unict.it:20.500.11769/582729