References
D. D. Anderson, D. F. Anderson andE. W. Johnson,Some ideal-theoretic conditions on a Noetherian ring. (Preprint)
S. Endo, A note on p.p. rings,Nagoya Math. J. 17 (1960), 167–170.MR 25: 1195
R. Gilmer,Multiplicative ideal theory. Dekker, New York, 1972.MR 55: 323
R. Gilmer andA. P. Grams, The equality(A ∩ B) n = An ∩ Bnfor ideals,Canad. J. Math. 24 (1972), 792–798.MR 46: 7224
M. K. Hasan,Finitely generated projective ideals in commutative rings, University of Baghdad, 1982. (M. Sc. thesis)
I. Kaplansky,Commutative rings, Allyn and Bacon, Boston, 1970.MR 40: 7234
M. D. Larsen andP. J. McCarthy,Multiplicative theory of ideals, Academic Press, New York, 1971.MR 54: 2629
R. E. MacRae, On an application of the Fitting invariants,J. Algebra 2 (1965), 153–169.MR 31: 2296
A. G. Naoum, A note on commutative semi-hereditary rings,Islamabad J. Sci. (To appear)
A. G. Naoum, A note onq-rings,Abh. Braunschweig. Wiss. Ges. 33 (1982), 179–182.
A. G. Naoum, Quasi-invertible ideals and projective ideals,Iraqi J. Sci. 19 (1978), 157–166.MR 80d: 13003
A. G. Naoum, On finitely generated projective ideals in commutative rings,Period. Math. Hungar. 12 (1981), 287–292.MR 83i: 13008
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This work is based on the M. Sc. thesis written by the second author under the supervision of the first author, and was submitted to the University of Baghdad in 1982.
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Naoum, A.G., Hasan, M.A.K. On finitely generated projective ideals and Ohm condition. Period Math Hung 16, 51–60 (1985). https://doi.org/10.1007/BF01855803
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DOI: https://doi.org/10.1007/BF01855803