The theory of quasi-divisors on cartesian products
Communications in Mathematics, Tome 8 (2000) no. 1, pp. 51-59 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Kalapodi, Aleka; Kontolatou, Angeliki. The theory of quasi-divisors on cartesian products. Communications in Mathematics, Tome 8 (2000) no. 1, pp. 51-59. http://geodesic.mathdoc.fr/item/COMIM_2000_8_1_a5/

[1] Aubert K.: Divisors of Finite Character. Annali di Matematica pura ed applicata XXXIII (1983), 327-361. | MR | Zbl

[2] Borevic-Shafarevic: Number Theory. Academic Press, New York, 1966. | MR

[3] Geroldinger A., Mockof J.: Quasi-divisor theories and generalizations of Krull domains. Journal of Pure and Applied Algebra 102 (1995), 289-311. | DOI | MR

[4] Halter-Koch F.: Halbgruppen mit Divisorentheorie. Expo. Math. 8 (1990), 27-66. | MR | Zbl

[5] Halter-Koch F.: Ideal systems. Marcel Dekker, Inc., New York, 1998. | MR | Zbl

[6] Jaffard P.: Les systemes d' idéaux. Dunod, Paris, I960. | MR | Zbl

[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. | MR | Zbl

[8] Lorenzen P.: Abstrakte Begründung der multiplikativen Idealtheorie. Math. Z. 45 (1939), 533-553. | DOI | MR | Zbl

[9] Močkoř J., Kontolatou A.: Divisor Class Groups of ordered subgroups. Acta Math. Inf. Univ. Ostrav. 1 (1993). | MR

[10] Močkoř J., Kontolatou A.: Groups with quasi-divisor theory. Comm. Math. Univ. St. Pauli 42 (1993), 23-36. | MR

[11] Skula L.: Divisorentheorie einer Halbgruppe. Math. Z. 114 (1970), 113-120. | MR | Zbl