Elasticity in certain block monoids via the Euclidean table

SooAh Chang; Scott T. Chapman; William W. Smith

Mathematica Slovaca (2007)

  • Volume: 57, Issue: 5, page [415]-454
  • ISSN: 0232-0525

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Chang, SooAh, Chapman, Scott T., and Smith, William W.. "Elasticity in certain block monoids via the Euclidean table." Mathematica Slovaca 57.5 (2007): [415]-454. <http://eudml.org/doc/34661>.

@article{Chang2007,
author = {Chang, SooAh, Chapman, Scott T., Smith, William W.},
journal = {Mathematica Slovaca},
keywords = {block monoids; elasticities of factorizations; non-unique factorizations; minimal zero-sequences; Euclidean tables; algorithms},
language = {eng},
number = {5},
pages = {[415]-454},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Elasticity in certain block monoids via the Euclidean table},
url = {http://eudml.org/doc/34661},
volume = {57},
year = {2007},
}

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
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 57
IS - 5
SP - [415]
EP - 454
LA - eng
KW - block monoids; elasticities of factorizations; non-unique factorizations; minimal zero-sequences; Euclidean tables; algorithms
UR - http://eudml.org/doc/34661
ER -

References

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  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. Zbl0964.13001MR1757480
  3. BAGINSKI P.-CHAPMAN S. T.-HOLDEN M.-MOORE T., Asymptotic elasticity in atomic monoids, Semigroup Forum 72 (2006), 134-142. Zbl1099.20033MR2215535
  4. CHAPMAN S. T.-GEROLDINGER A., On cross numbers of minimal zero sequences, Australas. J. Comb. 14 (1996), 85-92. (1996) Zbl0866.11018MR1424324
  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. (1997) Zbl0897.13001MR1460769
  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. (1993) Zbl0784.11050MR1231210
  7. CHAPMAN S. T.-SMITH W. W., [unknown], Proc. Edinb. Math. Soc. (2) 46 (2003), 257-267. MR1998399
  8. GEROLDINGER A., On non-unique factorizations into irreducible elements II, Colloq Math. Soc. Janos Bolyai 51 (1987), 723-757. (1987) 
  9. GEROLDINGER A.-HALTER-KOCH F., Nonunique factorizations in block semi-groups and their arithmetical applications, Math. Slovaca 42 (1992), 641-661. (1992) MR1202179
  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. MR2194494
  11. HALTER-KOCH F., Elasticity of factorizations in atomic monoids and integral domains, J. Theor. Nombres Bordeaux 7 (1995), 367-385. (1995) Zbl0844.11068MR1378586
  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. MR2140705
  13. OLDS C. D., Continued Fractions, New Mathematical Library 9, Random House Inc., New York, 1961. (1961) MR0146146
  14. SCHMID W. A., Arithmetic of block monoids, Math. Slovaca 54 (2004), 503-526. Zbl1108.11084MR2114621
  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. Zbl1108.11074MR2178533

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