Chains of factorizations in weakly Krull domains
Geroldinger, Alfred
Colloquium Mathematicae, Tome 72 (1997), p. 53-81 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)
Publié le : 1997-01-01
EUDML-ID : urn:eudml:doc:210456 
@article{bwmeta1.element.bwnjournal-article-cmv72i1p53bwm,
     author = {Alfred Geroldinger},
     title = {Chains of factorizations in weakly Krull domains},
     journal = {Colloquium Mathematicae},
     volume = {72},
     year = {1997},
     pages = {53-81},
     zbl = {0874.13001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv72i1p53bwm}
}

Geroldinger, Alfred. Chains of factorizations in weakly Krull domains. Colloquium Mathematicae, Tome 72 (1997) pp. 53-81. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv72i1p53bwm/

[000] [A-A-Z] D. D. Anderson, D. F. Anderson and M. Zafrullah, Factorization in integral domains, J. Pure Appl. Algebra 69 (1990), 1-19. | Zbl 0727.13007

[001] [A-M-Z] D. D. Anderson, J. L. Mott and M. Zafrullah, Finite character representations for integral domains, Boll. Un. Mat. Ital. B (7) 6 (1992), 613-630. | Zbl 0773.13004

[002] [An] D. F. Anderson, A general theory of class groups, Comm. Algebra 16 (1988), 805-847. | Zbl 0648.13002

[003] [B-H] W. Bruns and J. Herzog, Cohen-Macaulay Rings, Cambridge Univ. Press, 1993.

[004] [B-I-V] R. Brüske, F. Ischebeck and F. Vogel, Kommutative Algebra, B. I. Wissenschaftsverlag, 1989.

[005] [C-P] A. H. Clifford and G. B. Preston, The Algebraic Theory of Semigroups II, Providence, R.I., 1967. | Zbl 0178.01203

[006] [Ge1] A. Geroldinger, Über nicht-eindeutige Zerlegungen in irreduzible Elemente, Math. Z. 197 (1988), 505-529.

[007] [Ge2] A. Geroldinger, On the arithmetic of certain not integrally closed noetherian integral domains, Comm. Algebra 19 (1991), 685-698. | Zbl 0723.20038

[008] [Ge3] A. Geroldinger, T-block monoids and their arithmetical applications to certain integral domains, ibid. 22 (1994), 1603-1615. | Zbl 0809.13013

[009] [Ge4] A. Geroldinger, On the structure and arithmetic of finitely primary monoids, Czechoslovak Math. J., to appear.

[010] [Ge5] A. Geroldinger, Chains of factorizations in orders of global fields, this volume, 83-102. | Zbl 0874.11073

[011] [G-HK] A. Geroldinger and F. Halter-Koch, Arithmetical theory of monoid homomorphisms, Semigroup Forum 48 (1994), 333-362. | Zbl 0805.20057

[012] [G-L] A. Geroldinger and G. Lettl, Factorization problems in semigroups, ibid. 40 (1990), 23-38. | Zbl 0693.20063

[013] [G-S] A. Geroldinger and R. Schneider, On Davenport's constant, J. Combin. Theory Ser. A 61 (1992), 147-152. | Zbl 0759.20008

[014] [Gi1] R. Gilmer, Multiplicative Ideal Theory, Queen's Papers in Pure and Appl. Math. 90, Queen's Univ., Kingston, Ont., 1992.

[015] [Gi2] R. Gilmer, Commutative Semigroup Rings, The Univ. of Chicago Press, 1984.

[016] [HK1] F. Halter-Koch, Halbgruppen mit Divisorentheorie, Exposition. Math. 8 (1990), 27-66. | Zbl 0698.20054

[017] [HK2] F. Halter-Koch, Finiteness theorems for factorizations, Semigroup Forum 44 (1992), 112-117. | Zbl 0751.20046

[018] [HK3] F. Halter-Koch, Divisor theories with primary elements and weakly Krull domains, Boll. Un. Mat. Ital. B (7) 9 (1995), 417-441. | Zbl 0849.20041

[019] [HK4] F. Halter-Koch, Elasticity of factorizations in atomic monoids and integral domains, J. Théor. Nombres Bordeaux 7 (1995), 367-385. | Zbl 0844.11068

[020] [HK5] F. Halter-Koch, Zur Zahlen- und Idealtheorie eindimensionaler noetherscher Integritätsbereiche, J. Algebra 136 (1991), 103-108.

[021] [Ka] I. Kaplansky, Commutative Rings, Polygonal Publishing House, 1994.

[022] [Ma] H. Matsumura, Commutative Ring Theory, Cambridge University Press, 1986.

[023] [Ne] J. Neukirch, Algebraische Zahlentheorie, Springer, 1992.