Chamarie, Marc Ordres maximaux et R-ordres maximaux. (French) Zbl 0405.16004 J. Algebra 58, 148-156 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 4 Documents MSC: 16H05 Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) 16W10 Rings with involution; Lie, Jordan and other nonassociative structures 16E50 von Neumann regular rings and generalizations (associative algebraic aspects) 16Rxx Rings with polynomial identity 16P50 Localization and associative Noetherian rings Keywords:Asano Orders; Maximal Orders; Integral Closure PDFBibTeX XMLCite \textit{M. Chamarie}, J. Algebra 58, 148--156 (1979; Zbl 0405.16004) Full Text: DOI References: [1] Asano, K., Zur Arithmetik in Schiefringen, Osaka Math. J., 1, 98-134 (1949) · Zbl 0041.16601 [2] Asano, K.; Murata, K., Arithmetical theory in semi-groups, J. Inst. Polytech., Osaka City Univ., Ser. A, 4, 9-33 (1953) [3] Auslander, M.; Goldman, O., Maximal orders, Trans. Amer. Math. Soc., 97, 1-24 (1960) · Zbl 0117.02506 [4] Beachy, J.; Blair, W., Localization at semi-prime ideals, J. Algebra, 38, 309-314 (1976) · Zbl 0324.16002 [5] M. Chamarie and A. HudryComm. Algebra; M. Chamarie and A. HudryComm. Algebra · Zbl 0368.16009 [6] Eisenbud, D., Subrings of artinian and noetherian rings, Math. Ann., 185, 247-249 (1970) · Zbl 0207.04702 [7] Formanek, E., Noetherian P.I rings, Comm. Algebra, 1, 79-86 (1974) · Zbl 0272.16004 [8] Fossum, R., Maximal orders over Krull domains, J. Algebra, 10, 321-332 (1968) · Zbl 0165.35204 [9] Fossum, R., The Divisor Class Group of a Krull Domain, (Ergebnisse der Mathematik, Band 74 (1973), Springer-Verlag: Springer-Verlag New York/Berlin) · Zbl 0256.13001 [10] Marubayashi, H., Noncommutative Krull rings, Osaka J. Math., 12, 703-714 (1975) · Zbl 0321.16002 [11] H. MarubayashiOsaka J. Math.; H. MarubayashiOsaka J. Math. · Zbl 0355.16002 [12] Maury, G., Anneaux de fractions classiques dans les \(R\)-ordres maximaux, Comm. Algebra, 3, 12, 1083-1091 (1975) · Zbl 0316.16005 [13] Procesi, C., Rings with Polynomial Identities (1973), Dekker: Dekker New York · Zbl 0262.16018 [14] Riley, J., Reflexive ideals in maximal orders, J. Algebra, 2, 451-465 (1965) · Zbl 0143.26802 [15] Samuel, P.; Zarisky, D., (Commutative Algebra, Vol. I (1958), Van Nostrand: Van Nostrand Princeton, N.J) [16] Schelter, W., Integral extensions of rings satisfying a polynomial identity, J. Algebra, 40, 245-257 (1976) · Zbl 0341.16009 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.