Finite unions of ideals and modules

Proceedings of the American Mathematical Society

Volumn 52, Issue 1, 1975, Pages 91-96

  Quartararo, Philip ^a   Butts, H S ^b  

^a SOUTHERN UNIVERSITY   (United States)

^b LOUISIANA STATE UNIVERSITY   (United States)

Author keywords

Bezout ring; Quasi local; Quotient ring; Residue field

Indexed keywords

EID: 0041303459     PISSN: 00029939     EISSN: 10886826     Source Type: Journal    
DOI: 10.1090/S0002-9939-1975-0382249-5     Document Type: Article

References (7)

1. H. S. Butts and W. W. Smith, Priifer rings, Math. Z. 95 (1967), 196-211.
2. R. W. Gilmer, Jr., Multiplicative ideal theory, Dekker, New York, 1972.
3. M. Griffin, Priifer rings with zero divisors, J. Reine Angew. Math. 239 240 (1969), 55-67.
4. I. Kaplansky, Commutative rings, Allyn and Bacon, Boston, Mass., 1970.
5. N. H. McCoy, A note on finite unions of ideals and subgroups, Proc. Amer. Math. Soc. 8 (1957), 633-637.
6. M. Nagata, Local rings, Interscience Tracts in Pure and Appl. Math., no. 13, Interscience, New York, 1962.
7. O. Zariski and P. Samuel, Commutative algebra. Vol. I, University Ser. in Higher Math., Van Nostrand, Princeton, N. J., 1958.