Jacobson - rings and hilbert algebras with polynomial identities

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1966 English Publisher:Springer Science and Business Media LLCJournal:Annali di Matematica Pura ed Applicata, volume 71, pages 61-72 (issn: 0373-3114, eissn: 1618-1891,

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Authors: Amitsur, S. A.; Procesi, C.;

doi: 10.1007/bf02413733

Jacobson - rings and hilbert algebras with polynomial identities

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Abstract

We consider n-tuples of m × m matrices as zeroes of non-commutative polynomials in n-variables and establish an analogue of the classical Hilbert-Nullstellensatz. We study then finitely generated non-commutative algebras over Jacobson rings and obtain results conpletely analogous with the commutative tehory.

Keywords

associative rings

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