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Utilizza questo identificativo per citare o creare un link a questo documento:
http://hdl.handle.net/10761/3679
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Data: | 23-mar-2017 |
Autori: | Ioppolo, Antonio |
Titolo: | Superalgebras with superinvolution |
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. |
In | Area 01 - Scienze matematiche e informatiche
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