This is a preview of subscription content, log in via an institution to check access.
References
K. Asano, Zur Arithmetik in Schiefringen, II. J. Inst. Polytech. Osaka City Univ. Ser. A Math.1, 1–27 (1950).
A. W. Chatters, The restricted minimum condition in Noetherian hereditary rings. J. London Math. Soc.4, 83–87 (1971).
A. W. Chatters, A decomposition theorem for Noetherian hereditary rings. Bull. London Math. Soc.4, 125–126 (1972).
I. S. Cohen, Commutative rings with restricted minimum condition. Duke Math. J.17, 27–42 (1950).
C.Faith, Characterizing rings by faithful modules. To appear.
A. W. Goldie, The structure of prime rings under ascending chain conditions. Proc. London Math. Soc.8, 589–608 (1958).
A. W. Goldie, Semi-prime rings with maximum condition. Proc. London Math. Soc.10, 201–220 (1960).
K. R.Goodearl, Singular Torsion and the Splitting Properties. Mem. Amer. Math. Soc.124 (1972).
P. Griffith andJ. C. Robson, A theorem of Asano and Michler. Proc. Amer. Math. Soc.24, 837–838 (1970).
C. Hopkins, Rings with minimal condition for left ideals. Ann. of Math. 40, 712–730 (1939).
X.Jacobson, The theory of rings. Providence 1943.
A. V.Jategaonkar, Left principal ideal rings. Lect. Notes Math.123, New York and Berlin 1970.
J. Levitzki, On rings which satisfy the minimum condition for right-hand ideals. Compositio Math.7, 214–222 (1939).
G. Michler, Asano orders. Proc. London Math. Soc.19, 421–443 (1969).
A. J. Ornstein, Rings with restricted minimum condition. Proc. Amer. Math. Soc.19, 1145–1150 (1968).
J. C. Robson, Non-commutative Dedekind rings. J. Algebra9, 249–265 (1968).
D. B. Webber, Ideals and modules of simple Noetherian hereditary rings. J. Algebra16, 239–242 (1970).
A. Zaks, Some rings are hereditary. Israel J. Math.10, 442–450 (1971).
T. Lenagen, Bounded Asano orders are hereditary. Bull. London Math. Soc.3, 67–69 (1971).
L. Levy, Torsion-free and divisible modules over non-integral-domains. Canad. J. Math.15, 132–151 (1963).
C. Faith, On a theorem of Chatters. Comm. in Algebra3, 169–184 (1975).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Faith, C. Projective ideals in Cohen rings. Arch. Math 26, 588–594 (1975). https://doi.org/10.1007/BF01229785
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01229785