Geodesic
A class of maximal orders integral over their centres
Glasgow mathematical journal, Tome 24 (1983) no. 2, pp. 177-180

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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. 
Gray, Andy J. A class of maximal orders integral over their centres. Glasgow mathematical journal, Tome 24 (1983) no. 2, pp. 177-180. doi: 10.1017/S0017089500005255
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