2026-09-24T19:34:46Zhttps://www.iris.unict.it/oai/request

oai:www.iris.unict.it:20.500.11769/5827292023-12-13T00:29:24Zcom_20.500.11769_434851com_123456789_40col_20.500.11769_434852

Superalgebras with superinvolution IOPPOLO, ANTONIO RUSSO GIOVANNI Ioppolo, Antonio polynomial identities, superinvolutions, growth, standard polynomials 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. 2017-01-24 info:eu-repo/semantics/doctoralThesis https://hdl.handle.net/20.500.11769/582729 eng info:eu-repo/semantics/openAccess alleditors:RUSSO GIOVANNI Università degli studi di Catania place:Catania license:PUBBLICO - Pubblico con Copyright license uri:iris.PUB02