@article{10_21136_CMJ_1996_127327,
author = {Geroldinger, Alfred},
title = {On the structure and arithmetic of finitely primary monoids},
journal = {Czechoslovak Mathematical Journal},
pages = {677--695},
year = {1996},
volume = {46},
number = {4},
doi = {10.21136/CMJ.1996.127327},
mrnumber = {1414602},
zbl = {0879.20032},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1996.127327/}
}
TY - JOUR AU - Geroldinger, Alfred TI - On the structure and arithmetic of finitely primary monoids JO - Czechoslovak Mathematical Journal PY - 1996 SP - 677 EP - 695 VL - 46 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1996.127327/ DO - 10.21136/CMJ.1996.127327 LA - en ID - 10_21136_CMJ_1996_127327 ER -
Geroldinger, Alfred. On the structure and arithmetic of finitely primary monoids. Czechoslovak Mathematical Journal, Tome 46 (1996) no. 4, pp. 677-695. doi: 10.21136/CMJ.1996.127327
[An] A. Anjaneyulu: On primary semigroups. Czech. Math. J. 30 (1980), 382–386. | MR | Zbl
[Ge1] A. Geroldinger: The complete integral closure of monoids and domains. PU.M.A. 4 (1993), 147–165. | MR | Zbl
[Ge2] A. Geroldinger: T-block monoids and their arithmetical applications to certain integral domains. Comm. Algebra 22 (1994), 1603–1615. | DOI | MR | Zbl
[G-HK] A. Geroldinger and F. Halter-Koch: Arithmetical theory of monoid homomorphisms. Semigroup Forum 48 (1994), 333–362. | DOI | MR
[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
[G-L] A. Geroldinger and G. Lettl: Factorization problems in semigroups. Semigroup Forum 40 (1990), 23–38. | DOI | MR
[Gi1] R. Gilmer: Multiplicative ideal theory. Queen’s Papers (1992). | MR | Zbl
[Gi2] R. Gilmer: Commutative semigroup rings. The University of Chicago Press (1984). | MR | Zbl
[HK1] F. Halter-Koch: Divisor theories with primary elements and weakly Krull domains. Boll. U. M. I. 9-B (1995), 417–441. | MR | Zbl
[HK2] F. Halter-Koch: Elasticity of factorizations in atomic monoids and integral domains. J. Th. Nombres Bordeaux 7 (1995), 367–385. | DOI | MR | Zbl
[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. | MR | Zbl
[HK4] F. Halter-Koch: Finiteness theorems of factorizations. Semigroup Forum 44 (1992), 112–117. | DOI | MR
[HK5] F. Halter-Koch: Zur Zahlen- und Idealtheorie eindimensionaler noetherscher Integritätsbereiche. J. Algebra 136 (1991), 103–108. | DOI | MR | Zbl
[Hu] H.C. Hutchins: Examples of commutative rings. Polygonal Publishing House (1981). | MR | Zbl
[Kap] I. Kaplansky: Commutative rings. Allyn and Bacon (1970). | MR | Zbl
[Kar] G. Karpilovsky: Field theory. Marcel Dekker (1988). | MR | Zbl
[Ma] H. Matsumura: Commutative ring theory. Cambridge University Press (1986). | MR | Zbl
[Ne] J. Neukirch: Algebraische Zahlentheorie. Springer (1992). | Zbl
[Pe] M. Petrich: Introduction to semigroups. Charles E. Merrill Publishing Co. (1973). | MR | Zbl
[Sa] M. Satyanarayana: Commutative primary semigroups. Czech. Math. J. 22 (1972), 509–516. | MR | Zbl
[Ta] T. Tamura: Basic study of $N$-semigroups and their homomorphisms. Semigroup Forum 8 (1974), 21–50. | DOI | MR
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