@article{MASLO_1992_42_5_a8,
author = {Geroldinger, A. and Halter-Koch, Franz},
title = {Non-unique factorizations in block semigroups and arithmetical applications},
journal = {Mathematica slovaca},
pages = {641--661},
year = {1992},
volume = {42},
number = {5},
mrnumber = {1202179},
zbl = {0765.11045},
language = {en},
url = {http://geodesic.mathdoc.fr/item/MASLO_1992_42_5_a8/}
}
Geroldinger, A.; Halter-Koch, Franz. Non-unique factorizations in block semigroups and arithmetical applications. Mathematica slovaca, Tome 42 (1992) no. 5, pp. 641-661. http://geodesic.mathdoc.fr/item/MASLO_1992_42_5_a8/
[1] CARLITZ L.: A characterization of algebraic number fields with class number two. Proc. Amer. Math. Soc. 11 (1960), 391-392. | MR | Zbl
[2] FUCHS L.: Infinite Abelian Groups. Academic Press, Address of publisher, 1970. | MR | Zbl
[3] GEROLDINGER A.: Über nicht-eindeutige Zerlegungen in irreduzible Elemente. Math. Z. 197 (1988), 505-529. | MR
[4] GEROLDINGER A.: Ein quantitatives Resultat über Faktorisierungen verschiedener Länge in algebraischen Zahlkörpern. Math. Z. 205 (1990), 159-162. | MR | Zbl
[5] GEROLDINGER A.: Factorization of natural numbers in algebraic number fields. Acta Arith. 57 (1991), 365-373. | MR | Zbl
[6] GEROLDINGER A., HALTER-KOCH F.: Realization Theorems for semigroups with divisor theory. Semigroup Forum 44 (1992), 229-237. | MR | Zbl
[7] HALTER-KOCH F.: Halbgruppen mit Divisorentheorie. Exposition. Math. 8 (1990), 27-66. | MR | Zbl
[8] HALTER-KOCH F.: A generalization of Davenport's constant and its arithmetical applications. Colloq. Math. 63 (1992), 203-210. | MR | Zbl
[9] HALTER-KOCH F.: Typenhalbgruppen und Faktorisierungsprobleme. Resultate Math. 22 (1992), 545-559. | MR | Zbl
[10] HALTER-KOCH F., MÜLLER W.: Quantitative aspects of non-unique factorization: A general theory with applications to algebraic function fields. J. Heine Angew. Math. 421 (1991), 159-188. | MR | Zbl
[11] KACZOROWSKI J.: Some remarks on factorization in algebraic number fields. Acta Arith. 43 (1983), 53-68. | MR | Zbl
[12] NARKIEWICZ W.: Finite abelian groups and factorization problems. Colloq. Math. 42 (1979), 319-330. | MR | Zbl
[13] NARKIEWICZ W.: Elementary and Analytic Theory of Algebraic Numbers. Springer, Address of Publisher, 1990. | MR | Zbl
[14] NARKIEWICZ W.: Numbers with unique factorization in an algebraic number field. Acta Arith. 21 (1972), 313-322. | MR | Zbl
[15] NARKIEWICZ W., SLIWA J.: Finite abelian groups and factorization problems, II. Colloq. Math. 46 (1982), 115-122. | MR | Zbl
[16] SLIWA J.: Factorizations of distinct lenghts in algebraic number fields. Acta Arith. 31 (1976), 399-417. | MR