| Title:
|
Arithmetic of block monoids (English) |
| Author:
|
Schmid, Wolfgang A. |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
54 |
| Issue:
|
5 |
| Year:
|
2004 |
| Pages:
|
503-526 |
| . |
| Category:
|
math |
| . |
| MSC:
|
11R27 |
| MSC:
|
13F05 |
| MSC:
|
20K99 |
| idZBL:
|
Zbl 1108.11084 |
| idMR:
|
MR2114621 |
| . |
| Date available:
|
2009-09-25T14:23:32Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/129295 |
| . |
| Reference:
|
[An97]
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| Reference:
|
[Car] CARLITZ L.: A Characterization of algebraic number fields with class number two.Proc Amer. Math. Soc 11 (1960), 391-392. Zbl 0202.33101, MR 0111741 |
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[Ch-Ge97] CHAPMAN S.-GEROLDINGER A.: Krull domains and monoids, their sets of lengths and associated combinatorial problems.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. 73-112. MR 1460769 |
| Reference:
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[Ch-Sm03] CHAPMAN S. T. SMITH W. W.: On factorization in block monoids formed by $\{\overline{l},\overline{a}\}$ in $\mathbb Z_n$.Proc. Edinb. Math. Soc (2) 46 (2003), 257-267. MR 1998399 |
| Reference:
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| Reference:
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[Ga-Ge02] GAO W.-GEROLDINGER A.: On the order of elements in long minimal zero-sum sequences.Period. Math. Hungar. 44 (2002), 63-73. Zbl 1017.20043, MR 1892274 |
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[Ge87] GEROLDINGER A.: On non-unique factorizations into irreducible elements II.In: Colloq. Math. Soc Janos Bolyai 51, North Holland, Amsterdam, 1987, pp. 723-757. |
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[Ge94] GEROLDINGER A.: T-block monoids and their arithmetical applications to certain integral domains.Comm. Algebra 22 (1994), 1603-1615. Zbl 0809.13013, MR 1264730 |
| Reference:
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[Ge-HK92] GEROLDINGER A.-HALTER-KOCH F.: Non-unique factorizations in block semigroups and arithmetical applications.Math. Slovaca 42 (1992), 641-661. Zbl 0765.11045, MR 1202179 |
| Reference:
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[Ge-Ka92] GEROLDINGER A.-KACZOROWSKI J. : Analytic and arithmetic theory of semigroups with divisor theory.Sem. Theor. Nombres Bordeaux (2) 4 (1992), 199-238. Zbl 0780.11046, MR 1208863 |
| Reference:
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[HK97] 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. MR 1460768 |
| Reference:
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[HK98] HALTER-KOCH F.: Ideal Systems. An Introduction to Multiplicative Ideal Theory.Pure and Applied Mathematics, Marcel Dekker 211, New York, 1998. Zbl 0953.13001, MR 1828371 |
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[Na79] NARKIEWICZ W.: Finite abelian groups and factorization problems.Colloq. Math. 17 (1979), 319-330. Zbl 0514.12004, MR 0567570 |
| Reference:
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[Sch03] SCHMID W. A.: Half-factorial sets in elementary p-groups.Far East J. Math. Sci. (To appear). Zbl 1120.20055, MR 2255073 |
| Reference:
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[Sch03] SCHMID W. A.: Differences in sets of lengths of Krull monoids with finite class group.J. Theor. Nombres Bordeaux (To appear). Zbl 1090.20034, MR 2152227 |
| Reference:
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[Sk76] SKULA L.: On c-semigroups.Acta Arith. 31 (1976), 247-257. Zbl 0303.13014, MR 0444817 |
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| Reference:
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| . |
