This is a preview of subscription content, log in via an institution to check access.
References
D. D. Anderson, J. Mott andM. Zafrullah, Some quotient based statements in multiplicative ideal theory. Boll. Mat. Ital. (7)3-B, 455–476 (1989).
D. D. Anderson andB. G. Kang, Pseudo-Dedekind domains and divisorial ideals inR[X] T . J. Algebra122, 323–336 (1989).
V. Barucci, On a class of Mori domains. Comm. Algebra11, 1989–2001 (1983).
V. Barucci andS. Gabelli, How far is a Mori domain from being a Krull domain? J. Pure Appl. Algebra45, 101–112 (1987).
N.Bourbaki, Elements of Mathematics, Commutative Algebra. Reading 1972.
J. Brewer andW. Heinzer, Associated primes of principal ideals. Duke Math. J.41, 1–7 (1974).
D. Dobbs, E. Houston, T. Lucas andM. Zafrullah,t-linked overrings and Prüferv-multiplication domains. Comm. Algebra (11)17, 2835–2852 (1989).
R.Fossum, The Divisor Class Group of a Krull Domain. Berlin-Heidelberg-New York 1973.
R.Gilmer, Multiplicative Ideal Theory. New York 1972.
M. Griffin, Some results onv-multiplication rings. Canad. J. Math.19, 710–722 (1967).
W. Heinzer, Integral domains in which each nonzero ideal is divisorial. Mathematika15, 164–170 (1968).
E. Houston andM. Zafrullah, Integral domains in which eacht-ideal is divisorial. Mich. Math. J.35, 291–300 (1988).
E. Houston andM. Zafrullah, Ont-invertibility II. Comm. Algebra (8)17, 1955–1969 (1989).
P.Jaffard, Les systems d'Ideaux. Paris 1960.
B. G. Kang, On the converse of a well-known fact about Krull domains. J. Algebra124, 284–299 (1989).
I.Kaplansky, Commutative Rings. Boston 1970.
D. Lantz andM. Martin, Strongly two-generated ideals. Comm. Algebra16, 1759–1777 (1988).
S. Malik, J. Mott andM. Zafrullah, Ont-invertibility. Comm. Algebra16, 149–170 (1988).
J.Mott, B.Nashier and M.Zafrullah, Contents of polynomials and invertibility. Comm. Algebra, to appear.
J. Mott andM. Zafrullah, Unruly Hilbert domains. Canad. Math. Bull. (1)33, 106–109 (1990).
T. Nishimura, Unique factorization of ideals in the sense of quasi-equality. J. Math. Kyoto Univ.3, 115–125 (1963).
J. Querre, Sur une propriete des anneaux de Krull. Bull. Sci. Math. (2)95, 341–354 (1971).
J. Querre, Ideaux divisorials d'un anneau de polynomes. J. Algebra64, 270–284 (1980).
U.Storch, Fastfaktorielle Ringe. Schriftreihe Math. Inst. Univ. Münster36 (1967).
M. Zafrullah, Generalized Dedekind domains. Mathematika33, 285–295 (1986).
M. Zafrullah, Ascending chain condition and star operations. Comm. Algebra (6)17, 1523–1533 (1989).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Mott, J.L., Zafrullah, M. On Krull domains. Arch. Math 56, 559–568 (1991). https://doi.org/10.1007/BF01246772
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01246772