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Title: The theory of quasi-divisors on cartesian products (English)
Author: Kalapodi, Aleka
Author: Kontolatou, Angeliki
Language: English
Journal: Acta Mathematica et Informatica Universitatis Ostraviensis
ISSN: 1211-4774
Volume: 8
Issue: 1
Year: 2000
Pages: 51-59
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Category: math
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MSC: 06F15
MSC: 06F20
MSC: 13F05
idZBL: Zbl 1021.06009
idMR: MR1800222
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Date available: 2009-01-30T09:08:03Z
Last updated: 2013-10-22
Stable URL: http://hdl.handle.net/10338.dmlcz/120559
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Reference: [2] Borevic-Shafarevic: Number Theory.Academic Press, New York, 1966. MR 0195803
Reference: [3] Geroldinger A., Mockof J.: Quasi-divisor theories and generalizations of Krull domains.Journal of Pure and Applied Algebra 102 (1995), 289-311. MR 1354993, 10.1016/0022-4049(94)00088-Z
Reference: [4] Halter-Koch F.: Halbgruppen mit Divisorentheorie.Expo. Math. 8 (1990), 27-66. Zbl 0698.20054, MR 1042201
Reference: [5] Halter-Koch F.: Ideal systems.Marcel Dekker, Inc., New York, 1998. Zbl 0953.13001, MR 1828371
Reference: [6] Jaffard P.: Les systemes d' idéaux.Dunod, Paris, I960. Zbl 0101.27502, MR 0114810
Reference: [7] Kalapodi A., Kontolatou A.: Some remarks on r-ideal systems and categories of semigroups.Bulletin of the Greek Mathematical Society 42 (1999), 27-32. Zbl 0964.06015, MR 1816189
Reference: [8] Lorenzen P.: Abstrakte Begründung der multiplikativen Idealtheorie.Math. Z. 45 (1939), 533-553. Zbl 0021.38703, MR 0000604, 10.1007/BF01580299
Reference: [9] Močkoř J., Kontolatou A.: Divisor Class Groups of ordered subgroups.Acta Math. Inf. Univ. Ostrav. 1 (1993). MR 1250925
Reference: [10] Močkoř J., Kontolatou A.: Groups with quasi-divisor theory.Comm. Math. Univ. St. Pauli 42 (1993), 23-36. MR 1223185
Reference: [11] Skula L.: Divisorentheorie einer Halbgruppe.Math. Z. 114 (1970), 113-120. Zbl 0177.03202, MR 0262401
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