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References:
[1] ANDERSON D. F.: Elasticity of factorizations in integral domains: a survey. In: Lecture Notes in Pure and Appl. Math. 189, Marcel Dekker, New York, 1997, pp. 1-30. MR 1460767 | Zbl 0903.13008
[2] ANDERSON D. F.-CHAPMAN S. T.: On the elasticities of Krull domains with finite cyclic divisor class group. Comm. Algebra 28 (2000), 2543-2553. MR 1757480 | Zbl 0964.13001
[3] BAGINSKI P.-CHAPMAN S. T.-HOLDEN M.-MOORE T.: Asymptotic elasticity in atomic monoids. Semigroup Forum 72 (2006), 134-142. MR 2215535 | Zbl 1099.20033
[4] CHAPMAN S. T.-GEROLDINGER A.: On cross numbers of minimal zero sequences. Australas. J. Comb. 14 (1996), 85-92. MR 1424324 | Zbl 0866.11018
[5] CHAPMAN S. T.-GEROLDINGER A.: Krull domains and monoids, their sets of lengths and associated combinatorial problems. In: Lecture Notes in Pure and Appl Math. 189, Marcel Dekker, New York, 1997, pp. 73-112. MR 1460769 | Zbl 0897.13001
[6] CHAPMAN S. T.-SMITH W. W.: An Analysis using the Zaks-Skula constant of element factorizations in Dedekind domains. J. Algebra 159 (1993), 176-190. MR 1231210 | Zbl 0784.11050
[7] CHAPMAN S. T.-SMITH W. W.: On factorization in block monoids formed by $\{\overline 1,\overline a}$ in $\mathbb Z_n$. Proc. Edinb. Math. Soc. (2) 46 (2003), 257-267. MR 1998399
[8] GEROLDINGER A.: On non-unique factorizations into irreducible elements II. Colloq Math. Soc. Janos Bolyai 51 (1987), 723-757.
[9] GEROLDINGER A.-HALTER-KOCH F.: Nonunique factorizations in block semi-groups and their arithmetical applications. Math. Slovaca 42 (1992), 641-661. MR 1202179
[10] GEROLDINGER A.-HALTER-KOCH F.: Non-unique Factorizations. Algebraic Combinatorial and Analytic Theory, Pure and Applied Mathematics. Vol. 278, Chapman & Hall/CRC, Boca Raton, FL, 2006. MR 2194494
[11] HALTER-KOCH F.: Elasticity of factorizations in atomic monoids and integral domains. J. Theor. Nombres Bordeaux 7 (1995), 367-385. MR 1378586 | Zbl 0844.11068
[12] KATTCHEE K. M.: On Factorization in Krull domains with divisor class group $Z_{2^k},$. In: Arithmetical Properties of Commutative Rings and Monoids, Chapman & Hall CRC, Boca Raton, FL, 2005, pp. 325-336. MR 2140705
[13] OLDS C. D.: Continued Fractions. New Mathematical Library 9, Random House Inc., New York, 1961. MR 0146146
[14] SCHMID W. A.: Arithmetic of block monoids. Math. Slovaca 54 (2004), 503-526. MR 2114621 | Zbl 1108.11084
[15] SCHMID W. A.: On invariants related to non-unique factorizations in block monoids and rings of algebraic integers. Math. Slovaca 55 (2005), 21-37. MR 2178533 | Zbl 1108.11074
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