Goodearl, Kenneth R. Simple regular rings and rank functions. (English) Zbl 0285.16008 Math. Ann. 214, 267-287 (1975). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 13 Documents MSC: 16E50 von Neumann regular rings and generalizations (associative algebraic aspects) PDFBibTeX XMLCite \textit{K. R. Goodearl}, Math. Ann. 214, 267--287 (1975; Zbl 0285.16008) Full Text: DOI EuDML 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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.