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Simple regular rings and rank functions. (English) Zbl 0285.16008


MSC:

16E50 von Neumann regular rings and generalizations (associative algebraic aspects)
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References:

[1] Bourbaki, N.: Topologie Générale (Eléments de Mathématique, Livre III). Paris: Hermann 1965
[2] Faith, C.: Lectures on Injective Modules and Quotient Rings. Berlin-Heidelberg-New York: Springer 1967 · Zbl 0162.05002
[3] Goodearl, K.R.: Prime ideals in regular self-injective rings. Canadian J. Math.25, 829-839 (1973) · Zbl 0258.16032 · doi:10.4153/CJM-1973-085-3
[4] Goodearl, K.R., Handelman, D.: Simple self-injective rings. (to appear). · Zbl 0311.16029
[5] Halperin, I.: Regular rank rings. Canadian J. Math.17, 709-719 (1965) · Zbl 0136.31104 · doi:10.4153/CJM-1965-071-4
[6] Renault, G.: Anneaux réguliers auto-injectifs à droite. Bull. Soc. Math. France101, 237-254 (1973) · Zbl 0284.16007
[7] Rudin, W.: Functional Analysis. New York: McGraw-Hill 1973 · Zbl 0253.46001
[8] Utumi, Y.: On continuous rings and self-injective rings. Trans. American Math. Soc.118, 158-173 (1965) · Zbl 0144.27301 · doi:10.1090/S0002-9947-1965-0174592-8
[9] Neumann, J. von: Continuous Geometry. Princeton: Princeton Univ. Press 1960 · Zbl 0171.28003
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