Auslander‐Regular Algebras and Maximal Orders | Zendy

Stafford J. T. | Zendy

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Auslander‐Regular Algebras and Maximal Orders

Author(s) -

Stafford J. T.

Publication year - 1994

Publication title -

journal of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.441

H-Index - 62

eISSN - 1469-7750

pISSN - 0024-6107

DOI - 10.1112/jlms/50.2.276

Subject(s) - noetherian , mathematics , ring (chemistry) , order (exchange) , noetherian ring , identity (music) , division (mathematics) , domain (mathematical analysis) , algebra over a field , pure mathematics , polynomial ring , polynomial , discrete mathematics , arithmetic , finitely generated abelian group , mathematical analysis , physics , chemistry , organic chemistry , finance , acoustics , economics

Let R be an Auslander‐regular, Cohen‐Macaulay, Noetherian ring that is stably free. Then, we prove that R is a domain and a maximal order in its division ring of fractions. In particular, this applies to the Sklyanin algebra S and shows that, when S satisfies a polynomial identity, it is actually a finite module over its centre.

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