When are Associates Unit Multiples?
D.D. Anderson, M. Axtell, S.J. Forman, and Joe Stickles
Source: Rocky Mountain J. Math. Volume 34, Number 3
(2004), 811-828.
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Permanent link to this document: http://projecteuclid.org/euclid.rmjm/1181069828
Digital Object Identifier: doi:10.1216/rmjm/1181069828
Mathematical Reviews number (MathSciNet): MR2087432
Zentralblatt MATH identifier: 02144255
References
A.G. A\=gargün, D.D. Anderson and S. Valdes-Leon, Unique factorization rings with zero divisors, Comm. Algebra 27 (1999), 1967-1974.
Mathematical Reviews (MathSciNet): MR1679663
Zentralblatt MATH: 0947.13013
--------, Factorization in commutative rings with zero divisors, III, Rocky Mountain J. Math. 31 (2001), 1-21.
Mathematical Reviews (MathSciNet): MR1821364
Digital Object Identifier: doi:10.1216/rmjm/1008959664
Project Euclid: euclid.rmjm/1181070235
Zentralblatt MATH: 0994.13001
R.B.J.T. Allenby, Rings, fields and groups: An introduction to abstract algebra, 2nd ed., Edward Arnold, London, 1991; 1st ed., Edward Arnold, Baltimore, MD, 1983.
Mathematical Reviews (MathSciNet): MR1144518
D.D. Anderson, An existence theorem for non-Euclidean PIDs, Comm. Algebra 16 (1988), 1221-1229.
Mathematical Reviews (MathSciNet): MR939040
Digital Object Identifier: doi:10.1080/00927878808823628
D.D. Anderson and S. Valdes-Leon, Factorization in commutative rings with zero divisors, Rocky Mountain J. Math. 26 (1996), 439-480.
Mathematical Reviews (MathSciNet): MR1406490
Digital Object Identifier: doi:10.1216/rmjm/1181072068
Project Euclid: euclid.rmjm/1181072068
--------, Factorization in commutative rings with zero divisors, II, Factorization in integral domains, Lecture Notes in Pure and Appl. Math., vol. 189, Marcel Dekker, New York, 1997, pp. 197-219.
Mathematical Reviews (MathSciNet): MR1460773
Zentralblatt MATH: 0878.13001
A. Bouvier, Anneaux présimplifiables et anneaux atomiques, C.R. Acad. Sci. Paris Sér. A-B 272 (1971), 992-994.
Mathematical Reviews (MathSciNet): MR332751
--------, Sur les anneaux de fractions des anneaux atomiques présimplifiables, Bull. Sci. Math. 95 (1971), 371-377.
Mathematical Reviews (MathSciNet): MR297758
--------, Anneaux présimplifiables, C.R. Acad. Sci. Paris Sér. A-B 274 (1972), 1605-1607.
Mathematical Reviews (MathSciNet): MR297745
--------, Résultats nouveaux sur les anneaux présimplifiables, C.R. Acad. Sci. Paris Sér. A-B 275 (1972), 955-957.
Mathematical Reviews (MathSciNet): MR316435
--------, Anneaux présimplifiables, Rev. Roumaine Math. Pures Appl. 19 (1974), 713-724.
Mathematical Reviews (MathSciNet): MR393000
C.R. Fletcher, Unique factorization rings, Proc. Cambridge Philos. Soc. 65 (1969), 579-583.
Mathematical Reviews (MathSciNet): MR238825
Digital Object Identifier: doi:10.1017/S0305004100003352
--------, The structure of unique factorization rings, Proc. Cambridge Philos. Soc. 67 (1970), 535-540.
Mathematical Reviews (MathSciNet): MR252375
Digital Object Identifier: doi:10.1017/S0305004100045825
I. Kaplansky, Elementary divisors and modules, Trans. Amer. Math. Soc. 66 (1949), 464-491.
Mathematical Reviews (MathSciNet): MR31470
Zentralblatt MATH: 0036.01903
Digital Object Identifier: doi:10.2307/1990591
JSTOR: links.jstor.org
J.J. Rotman, An Introduction to homological algebra, Pure and Appl. Math., vol. 85, Academic Press, New York, 1979.
Mathematical Reviews (MathSciNet): MR538169
D. Spellman, G.M. Benkart, A.M. Gaglione, W.D. Joyner, M.E. Kidwell, M.D. Meyerson and W.P. Wardlaw, Principal ideals and associate rings, preprint.
Mathematical Reviews (MathSciNet): MR1942384
Zentralblatt MATH: 1046.13004
Rocky Mountain Journal of Mathematics