@article{MASLO_2007_57_5_a2,
author = {Chang, SooAh and Chapman, Scott T. and Smith, William W.},
title = {Elasticity in certain block monoids via the {Euclidean} table},
journal = {Mathematica slovaca},
pages = {415--454},
year = {2007},
volume = {57},
number = {5},
mrnumber = {2357252},
zbl = {1156.20056},
language = {en},
url = {http://geodesic.mathdoc.fr/item/MASLO_2007_57_5_a2/}
}
TY - JOUR AU - Chang, SooAh AU - Chapman, Scott T. AU - Smith, William W. TI - Elasticity in certain block monoids via the Euclidean table JO - Mathematica slovaca PY - 2007 SP - 415 EP - 454 VL - 57 IS - 5 UR - http://geodesic.mathdoc.fr/item/MASLO_2007_57_5_a2/ LA - en ID - MASLO_2007_57_5_a2 ER -
Chang, SooAh; Chapman, Scott T.; Smith, William W. Elasticity in certain block monoids via the Euclidean table. Mathematica slovaca, Tome 57 (2007) no. 5, pp. 415-454. http://geodesic.mathdoc.fr/item/MASLO_2007_57_5_a2/
[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 | Zbl
[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 | Zbl
[3] BAGINSKI P.-CHAPMAN S. T.-HOLDEN M.-MOORE T.: Asymptotic elasticity in atomic monoids. Semigroup Forum 72 (2006), 134-142. | MR | Zbl
[4] CHAPMAN S. T.-GEROLDINGER A.: On cross numbers of minimal zero sequences. Australas. J. Comb. 14 (1996), 85-92. | MR | Zbl
[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 | Zbl
[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 | Zbl
[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
[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
[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
[11] HALTER-KOCH F.: Elasticity of factorizations in atomic monoids and integral domains. J. Theor. Nombres Bordeaux 7 (1995), 367-385. | MR | Zbl
[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
[13] OLDS C. D.: Continued Fractions. New Mathematical Library 9, Random House Inc., New York, 1961. | MR
[14] SCHMID W. A.: Arithmetic of block monoids. Math. Slovaca 54 (2004), 503-526. | MR | Zbl
[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 | Zbl