| Title:
|
On the structure and arithmetic of finitely primary monoids (English) |
| Author:
|
Geroldinger, Alfred |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
46 |
| Issue:
|
4 |
| Year:
|
1996 |
| Pages:
|
677-695 |
| . |
| Category:
|
math |
| . |
| MSC:
|
13B22 |
| MSC:
|
13G05 |
| MSC:
|
20M14 |
| MSC:
|
20M25 |
| idZBL:
|
Zbl 0879.20032 |
| idMR:
|
MR1414602 |
| DOI:
|
10.21136/CMJ.1996.127327 |
| . |
| Date available:
|
2009-09-24T10:01:06Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127327 |
| . |
| Reference:
|
[An] A. Anjaneyulu: On primary semigroups.Czech. Math. J. 30 (1980), 382–386. Zbl 0447.20045, MR 0583619 |
| Reference:
|
[Ge1] A. Geroldinger: The complete integral closure of monoids and domains.PU.M.A. 4 (1993), 147–165. Zbl 0805.20055, MR 1270425 |
| Reference:
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[Ge2] A. Geroldinger: T-block monoids and their arithmetical applications to certain integral domains.Comm. Algebra 22 (1994), 1603–1615. Zbl 0809.13013, MR 1264730, 10.1080/00927879408824924 |
| Reference:
|
[G-HK] A. Geroldinger and F. Halter-Koch: Arithmetical theory of monoid homomorphisms.Semigroup Forum 48 (1994), 333–362. MR 1262998, 10.1007/BF02573682 |
| Reference:
|
[G-HK-L] A. Geroldinger, F. Halter-Koch and G. Lettl: The complete integral closure of monoids and domains II.Rendiconti di Matematica (Roma) 15 (1995), 281–292. MR 1339245 |
| Reference:
|
[G-L] A. Geroldinger and G. Lettl: Factorization problems in semigroups.Semigroup Forum 40 (1990), 23–38. MR 1014223, 10.1007/BF02573249 |
| Reference:
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[Gi1] R. Gilmer: Multiplicative ideal theory.Queen’s Papers (1992). Zbl 0804.13001, MR 1204267 |
| Reference:
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[Gi2] R. Gilmer: Commutative semigroup rings.The University of Chicago Press (1984). Zbl 0566.20050, MR 0741678 |
| Reference:
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[HK1] F. Halter-Koch: Divisor theories with primary elements and weakly Krull domains.Boll. U. M. I. 9-B (1995), 417–441. Zbl 0849.20041, MR 1333970 |
| Reference:
|
[HK2] F. Halter-Koch: Elasticity of factorizations in atomic monoids and integral domains.J. Th. Nombres Bordeaux 7 (1995), 367–385. Zbl 0844.11068, MR 1378586, 10.5802/jtnb.147 |
| Reference:
|
[HK3] F. Halter-Koch: The integral closure of a finitely generated monoid and the Frobenius problem in higher dimensions.Semigroups, edited by C. Bonzini, A. Cherubini and C. Tibiletti, World Scientific (1993), 86–93. Zbl 0818.20079, MR 1647172 |
| Reference:
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| Reference:
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[HK5] F. Halter-Koch: Zur Zahlen- und Idealtheorie eindimensionaler noetherscher Integritätsbereiche.J. Algebra 136 (1991), 103–108. Zbl 0743.13001, MR 1085124, 10.1016/0021-8693(91)90068-J |
| Reference:
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[Kar] G. Karpilovsky: Field theory.Marcel Dekker (1988). Zbl 0677.12010, MR 0972982 |
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| Reference:
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[Ne] J. Neukirch: Algebraische Zahlentheorie.Springer (1992). Zbl 0747.11001 |
| Reference:
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| Reference:
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| Reference:
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| . |
