Maximal Orders in an Azumaya Algebra over a Von Neumann Regular Ring
Publications mathématiques et informatique de Rennes (1980)
- Issue: S3, page 39-60
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topStenström, Bo. "Maximal Orders in an Azumaya Algebra over a Von Neumann Regular Ring." Publications mathématiques et informatique de Rennes (1980): 39-60. <http://eudml.org/doc/274833>.
@article{Stenström1980,
author = {Stenström, Bo},
journal = {Publications mathématiques et informatique de Rennes},
language = {eng},
number = {S3},
pages = {39-60},
publisher = {Département de Mathématiques et Informatique, Université de Rennes},
title = {Maximal Orders in an Azumaya Algebra over a Von Neumann Regular Ring},
url = {http://eudml.org/doc/274833},
year = {1980},
}
TY - JOUR
AU - Stenström, Bo
TI - Maximal Orders in an Azumaya Algebra over a Von Neumann Regular Ring
JO - Publications mathématiques et informatique de Rennes
PY - 1980
PB - Département de Mathématiques et Informatique, Université de Rennes
IS - S3
SP - 39
EP - 60
LA - eng
UR - http://eudml.org/doc/274833
ER -
References
top- 1. M. Auslander and O. Goldman, Maximal orders. Trans. Amer. Math. Soc.97 (1960), 1-24. Zbl0117.02506MR117252
- 2. H. Bass, Algebraic K-theory. Benjamin1963. Zbl0174.30302MR249491
- 3. G. Bergman, Hereditary commutative rings and centers of hereditary rings. Proc. London Math. Soc.23 (1971), 214-236. Zbl0219.13018MR309918
- 4. G. Birkhoff, Lattice theory, AMS Coll. Publ. vol 25 (3:rd ed.), Amer. Math. Soc.1967. Zbl0153.02501MR227053
- 5. W.D. Blair, Right nootherian rings integral over their center. J. Alg.27 (1973), 187-198. Zbl0268.16013MR325679
- 6. N. Bourbaki, Algèbre commutative. Hermann.
- 7. M. Chamarie, Ordres maximaux et R-ordres maximaux. J. Alg.58 (1979), 148-156. Zbl0405.16004MR535849
- 8. J.H. Cozzons and F.L. Sandomierski, Maximal orders and localisation. J. Alg.44 (1977), 319-338. Zbl0347.16003MR435121
- 9. S. Endo, On semi-hereditary rings. J. Math. Soc.Japan13 (1961), 109-119. Zbl0102.02902MR138664
- 10. R. Fossum, Maximal orders over Krull domains. J. Alg.10 (1968), 321-332. Zbl0165.35204MR233809
- 11. O. Goldman, Quasi-equality in maximal orders. J. Math. Soc.Japan13 (1961), 371-376. Zbl0119.27501MR162825
- 12. A.G. Heinicke, A remark about noncommutative integral extensions. Canad. Math. Bull.13 (1970), 359-561. Zbl0203.34001MR269682
- 13. K. Hoechsmann, Lifting ideals in noncommutative integral extensions. Canad. Math. Bull.13 (1970), 129-130. Zbl0198.36304MR260776
- 14. E. Kirkman and J. Kuzmanovich, Orders over hereditary rings. J. Alg.55 (1978), 1-27. Zbl0405.16013MR515756
- 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. Zbl0157.08405MR209272
- 16. J. Marot, Extension de la notion d'anneau de valuation. Dept. de Math. Brest. Zbl0176.00204
- 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, Orsay1977.
- 18. R.S. Pierce, Modules over commutative regular rings. Memoirs Amer. Math. Soc.70 (1967). Zbl0152.02601MR217056
- 19. I. Reiner, Maximal orders. Academic Press1975. Zbl1024.16008MR393100
- 20. J.C. Robson, Non-commutative Dedekind rings. J. Alg.9 (1968), 249-265. Zbl0174.06801MR231849
- 21. W. Schelter, Integral extensions of rings satisfying a polynomial identity. J. Alg.40 (1976), 245-257. Zbl0341.16009MR417238
- 22. O.E. Villamayor and D. Zelinsky, Galois theory with infinitely many idempotents. Nagoya Math. J.35 (1969), 83-98. Zbl0179.06303MR244238
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