| Title:
|
Elasticity in certain block monoids via the Euclidean table (English) |
| Author:
|
Chang, SooAh |
| Author:
|
Chapman, Scott T. |
| Author:
|
Smith, William W. |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
57 |
| Issue:
|
5 |
| Year:
|
2007 |
| Pages:
|
[415]-454 |
| . |
| Category:
|
math |
| . |
| MSC:
|
11A55 |
| MSC:
|
11B83 |
| MSC:
|
11J70 |
| MSC:
|
11R27 |
| MSC:
|
13A05 |
| MSC:
|
13F05 |
| MSC:
|
20M14 |
| idZBL:
|
Zbl 1156.20056 |
| idMR:
|
MR2357252 |
| . |
| Date available:
|
2009-09-25T14:40:26Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136969 |
| . |
| Reference:
|
[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. Zbl 0903.13008, MR 1460767 |
| Reference:
|
[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. Zbl 0964.13001, MR 1757480 |
| Reference:
|
[3] BAGINSKI P.-CHAPMAN S. T.-HOLDEN M.-MOORE T.: Asymptotic elasticity in atomic monoids.Semigroup Forum 72 (2006), 134-142. Zbl 1099.20033, MR 2215535 |
| Reference:
|
[4] CHAPMAN S. T.-GEROLDINGER A.: On cross numbers of minimal zero sequences.Australas. J. Comb. 14 (1996), 85-92. Zbl 0866.11018, MR 1424324 |
| Reference:
|
[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. Zbl 0897.13001, MR 1460769 |
| Reference:
|
[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. Zbl 0784.11050, MR 1231210 |
| Reference:
|
[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 |
| Reference:
|
[8] GEROLDINGER A.: On non-unique factorizations into irreducible elements II.Colloq Math. Soc. Janos Bolyai 51 (1987), 723-757. |
| Reference:
|
[9] GEROLDINGER A.-HALTER-KOCH F.: Nonunique factorizations in block semi-groups and their arithmetical applications.Math. Slovaca 42 (1992), 641-661. MR 1202179 |
| Reference:
|
[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 |
| Reference:
|
[11] HALTER-KOCH F.: Elasticity of factorizations in atomic monoids and integral domains.J. Theor. Nombres Bordeaux 7 (1995), 367-385. Zbl 0844.11068, MR 1378586 |
| Reference:
|
[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 |
| Reference:
|
[13] OLDS C. D.: Continued Fractions.New Mathematical Library 9, Random House Inc., New York, 1961. MR 0146146 |
| Reference:
|
[14] SCHMID W. A.: Arithmetic of block monoids.Math. Slovaca 54 (2004), 503-526. Zbl 1108.11084, MR 2114621 |
| Reference:
|
[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. Zbl 1108.11074, MR 2178533 |
| . |
