Review: K. R. Goodearl, Von Neumann regular rings
Efraim P. Armendariz
Source: Bull. Amer. Math. Soc. (N.S.) Volume 3, Number 1, Part 1
(1980), 752-757.
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K. R. Goodearl, Von Neumann regular rings. Monographs and Studies in Mathematics, No. 4, Pitman, London-San Francisco-Melbourne, 1979, xvii + 369 pp., $46.00
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Permanent link to this document: http://projecteuclid.org/euclid.bams/1183546484
References
1. M. Auslander, On regular group rings, Proc. Amer. Math. Soc. 8 (1957), 658-664.
Zentralblatt MATH: 0079.26703
Mathematical Reviews (MathSciNet): MR87670
Digital Object Identifier: doi:10.1090/S0002-9939-1957-0087670-X
2. V. Camillo, Semihereditary polynomial rings, Proc. Amer. Math. Soc. 45 (1974), 173-174.
Zentralblatt MATH: 0294.13014
Mathematical Reviews (MathSciNet): MR352165
Digital Object Identifier: doi:10.1090/S0002-9939-1974-0352165-2
3. P. Gabriel and U. Oberst, Spektralkategorien und regulare Ringe im Von-Neumannschen Sinn, Math. Z. 92 (1964), 389-395.
Zentralblatt MATH: 0136.25602
Mathematical Reviews (MathSciNet): MR225848
Digital Object Identifier: doi:10.1007/BF01112218
4. M. Harada, Note on the dimension of modules and algebras, J. Inst. Poly. Osaka City Univ. 7 (1956), 17-27.
Zentralblatt MATH: 0079.26702
Mathematical Reviews (MathSciNet): MR81269
5. N. Jacobson, Structure of rings, (2nd ed.), Amer. Math. Soc. Colloq. Publ., no. 37, Amer. Math. Soc., Providence, R. I., 1964.
Zentralblatt MATH: 0073.02002
Mathematical Reviews (MathSciNet): MR222106
6. R. E. Johnson, The extended centralizer of a ring over a module, Proc. Amer. Math. Soc. 2 (1951), 891-895.
Zentralblatt MATH: 0044.02204
Mathematical Reviews (MathSciNet): MR45695
Digital Object Identifier: doi:10.1090/S0002-9939-1951-0045695-9
7. R. E. Johnson and E. T. Wong, Quasi-injective modules and irreducible rings, J. London Math. Soc. 36 (1961), 260-268.
Zentralblatt MATH: 0103.02203
Mathematical Reviews (MathSciNet): MR131445
Digital Object Identifier: doi:10.1112/jlms/s1-36.1.260
8. I. Kaplansky, Rings of operators, Benjamin, New York, 1968.
Zentralblatt MATH: 0174.18503
Mathematical Reviews (MathSciNet): MR244778
9. P. J. McCarthy, The ring of polynomials over a von Neumann regular ring, Proc. Amer. Math. Soc. 39 (1973), 253-254.
Zentralblatt MATH: 0267.13008
Mathematical Reviews (MathSciNet): MR316496
10. F. J. Murray and J. von Neumann, On rings of operators, Ann. of Math. 37 (1936), 116-229.
Zentralblatt MATH: 0014.16101
Mathematical Reviews (MathSciNet): MR1503275
Digital Object Identifier: doi:10.2307/1968693
11. R. S. Pierce, Modules over commutative regular rings, Mem. Amer. Math. Soc. No. 70 (1967).
Zentralblatt MATH: 0152.02601
Mathematical Reviews (MathSciNet): MR217056
12. J.-E. Roos, Sur l'anneau maximal des fractions des AW*-algebras, C. R. Acad. Sci. Paris Ser. A-B 266 (1968), 120-123.
Zentralblatt MATH: 0165.05003
Mathematical Reviews (MathSciNet): MR244779
13. A. Rosenberg and D. Zelinsky, Finiteness of the infective hull, Math. Z. 70 (1959), 372-380.
Zentralblatt MATH: 0084.26505
Mathematical Reviews (MathSciNet): MR105434
Digital Object Identifier: doi:10.1007/BF01558598
14. J. von Neumann, On regular rings, Proc. Nat Acad. Sci. U.S.A. 22 (1936), 707-713.
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