Maximal Orders in an Azumaya Algebra over a Von Neumann Regular Ring
Publications des séminaires de mathématiques et informatique de Rennes, Colloque d'algèbre, no. S3 (1980), pp. 39-60. 
@article{PSMIR_1980___S3_39_0,
     author = {Stenstr\"om, Bo},
     title = {Maximal {Orders} in an {Azumaya} {Algebra} over a {Von} {Neumann} {Regular} {Ring}},
     journal = {Publications des s\'eminaires de math\'ematiques et informatique de Rennes},
     pages = {39--60},
     publisher = {D\'epartement de Math\'ematiques et Informatique, Universit\'e de Rennes},
     number = {S3},
     year = {1980},
     language = {en},
     url = {http://www.numdam.org/item/PSMIR_1980___S3_39_0/}
}
TY  - JOUR
AU  - Stenström, Bo
TI  - Maximal Orders in an Azumaya Algebra over a Von Neumann Regular Ring
JO  - Publications des séminaires de mathématiques et informatique de Rennes
PY  - 1980
SP  - 39
EP  - 60
IS  - S3
PB  - Département de Mathématiques et Informatique, Université de Rennes
UR  - http://www.numdam.org/item/PSMIR_1980___S3_39_0/
LA  - en
ID  - PSMIR_1980___S3_39_0
ER  - 
%0 Journal Article
%A Stenström, Bo
%T Maximal Orders in an Azumaya Algebra over a Von Neumann Regular Ring
%J Publications des séminaires de mathématiques et informatique de Rennes
%D 1980
%P 39-60
%N S3
%I Département de Mathématiques et Informatique, Université de Rennes
%U http://www.numdam.org/item/PSMIR_1980___S3_39_0/
%G en
%F PSMIR_1980___S3_39_0
Stenström, Bo. Maximal Orders in an Azumaya Algebra over a Von Neumann Regular Ring. Publications des séminaires de mathématiques et informatique de Rennes, Colloque d'algèbre, no. S3 (1980), pp. 39-60. http://www.numdam.org/item/PSMIR_1980___S3_39_0/

1. M. Auslander and O. Goldman, Maximal orders. Trans. Amer. Math. Soc. 97 (1960), 1-24. | MR | Zbl

2. H. Bass, Algebraic K-theory. Benjamin 1963. | MR | Zbl

3. G. Bergman, Hereditary commutative rings and centers of hereditary rings. Proc. London Math. Soc. 23 (1971), 214-236. | MR | Zbl

4. G. Birkhoff, Lattice theory, AMS Coll. Publ. vol 25 (3:rd ed.), Amer. Math. Soc. 1967. | MR | Zbl

5. W.D. Blair, Right nootherian rings integral over their center. J. Alg. 27 (1973), 187-198. | MR | Zbl

6. N. Bourbaki, Algèbre commutative. Hermann. | Zbl

7. M. Chamarie, Ordres maximaux et R-ordres maximaux. J. Alg. 58 (1979), 148-156. | MR | Zbl

8. J.H. Cozzons and F.L. Sandomierski, Maximal orders and localisation. J. Alg. 44 (1977), 319-338. | MR | Zbl

9. S. Endo, On semi-hereditary rings. J. Math. Soc. Japan 13 (1961), 109-119. | MR | Zbl

10. R. Fossum, Maximal orders over Krull domains. J. Alg. 10 (1968), 321-332. | MR | Zbl

11. O. Goldman, Quasi-equality in maximal orders. J. Math. Soc. Japan 13 (1961), 371-376. | MR | Zbl

12. A.G. Heinicke, A remark about noncommutative integral extensions. Canad. Math. Bull. 13 (1970), 359-561. | MR | Zbl

13. K. Hoechsmann, Lifting ideals in noncommutative integral extensions. Canad. Math. Bull. 13 (1970), 129-130. | MR | Zbl

14. E. Kirkman and J. Kuzmanovich, Orders over hereditary rings. J. Alg. 55 (1978), 1-27. | MR | Zbl

15. H.D. Larsen, Equivalent conditions for a ring to be a P-ring and a note on flat overrings. Duke Math. J. 34 (1967), 273-280. | MR | Zbl

16. J. Marot, Extension de la notion d'anneau de valuation. Dept. de Math. Brest.

17. J. Marot, Une extension de la notion d'anneau de valuation et application à l'étude des anneaux héréditaires commutatifs. Partie B de Thèse, Université de Paris-Sud, Orsay 1977.

18. R.S. Pierce, Modules over commutative regular rings. Memoirs Amer. Math. Soc. 70 (1967). | MR | Zbl

19. I. Reiner, Maximal orders. Academic Press 1975. | MR | Zbl

20. J.C. Robson, Non-commutative Dedekind rings. J. Alg. 9 (1968), 249-265. | MR | Zbl

21. W. Schelter, Integral extensions of rings satisfying a polynomial identity. J. Alg. 40 (1976), 245-257. | MR | Zbl

22. O.E. Villamayor and D. Zelinsky, Galois theory with infinitely many idempotents. Nagoya Math. J. 35 (1969), 83-98. | MR | Zbl