Arithmetic of block monoids

Wolfgang Alexander Schmid

Mathematica Slovaca (2004)

  • Volume: 54, Issue: 5, page 503-526
  • ISSN: 0232-0525

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Schmid, Wolfgang Alexander. "Arithmetic of block monoids." Mathematica Slovaca 54.5 (2004): 503-526. <http://eudml.org/doc/31777>.

@article{Schmid2004,
author = {Schmid, Wolfgang Alexander},
journal = {Mathematica Slovaca},
keywords = {block monoid; factorization; Krull monoid; zero-sum sequence},
language = {eng},
number = {5},
pages = {503-526},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Arithmetic of block monoids},
url = {http://eudml.org/doc/31777},
volume = {54},
year = {2004},
}

TY - JOUR
AU - Schmid, Wolfgang Alexander
TI - Arithmetic of block monoids
JO - Mathematica Slovaca
PY - 2004
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 54
IS - 5
SP - 503
EP - 526
LA - eng
KW - block monoid; factorization; Krull monoid; zero-sum sequence
UR - http://eudml.org/doc/31777
ER -

References

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  4. CHAPMAN S. T. SMITH W. W., On factorization in block monoids formed by { l ¯ , a ¯ } in n , Proc. Edinb. Math. Soc (2) 46 (2003), 257-267. MR1998399
  5. GAO W.-GEROLDINGER A., Half-factorial domains and half-factorial subsets in abelian groups, Houston J. Math. 24 (1998), 593-611. (1998) MR1686626
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  11. GEROLDINGER A.-KACZOROWSKI J., Analytic and arithmetic theory of semigroups with divisor theory, Sem. Theor. Nombres Bordeaux (2) 4 (1992), 199-238. (1992) Zbl0780.11046MR1208863
  12. HALTER-KOCH F., Finitely generated monoids, finitely primary monoids and factorization properties of integral domains, In: Factorization in Integral Domains (D. D. Anderson, ed.), Based on the proceedings of the conference, March 21, 1996, and the special session in commutative ring theory March 22-23, 1996, at the 909th meeting of the Amer. Math. Soc, Iowa City IA, USA. Lecture Notes in Pure and Appl. Math. 189, Marcel Dekker, New York, 1997, pp. 31-72. (1996) MR1460768
  13. HALTER-KOCH F., Ideal Systems. An Introduction to Multiplicative Ideal Theory, Pure and Applied Mathematics, Marcel Dekker 211, New York, 1998. (1998) Zbl0953.13001MR1828371
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