A class of maximal orders integral over their centres

A class of maximal orders integral over their centres

In a recent paper [1], Brown, Hajarnavis and MacEacharn have considered non-commutative Noetherian local rings of finite global dimension which are integral over their centres. For such a ring Rthey have shown: (i) R is a prime ring whose Krull and global dimensions coincide; (ii) R = ∩ RP where p r...

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Veröffentlicht in:Glasgow mathematical journal 1983-07, Vol.24 (2), p.177-180, Article 177
1. Verfasser: Gray, Andy J.
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description In a recent paper [1], Brown, Hajarnavis and MacEacharn have considered non-commutative Noetherian local rings of finite global dimension which are integral over their centres. For such a ring Rthey have shown: (i) R is a prime ring whose Krull and global dimensions coincide; (ii) R = ∩ RP where p runs through the set of rank one primes of the centre of R, and each Rp is hereditary; (iii) the centre of R is a Krull domain.
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title A class of maximal orders integral over their centres
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