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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On the contents of polynomials


Authors: Jimmy T. Arnold and Robert Gilmer
Journal: Proc. Amer. Math. Soc. 24 (1970), 556-562
MSC: Primary 12.30
DOI: https://doi.org/10.1090/S0002-9939-1970-0252360-3
MathSciNet review: 0252360
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  • D. Boccioni, Alcune osservazioni sugli anelli pseudo-bezoutiani e fattoriali, Rend. Sem. Mat. Univ. Padova 37 (1967), 273–288 (Italian). MR 217053
  • N. Bourbaki, Éléments de mathématique. Fasc. XXXI. Algèbre commutative. Chapitre 7: Diviseurs, Actualités Scientifiques et Industrielles [Current Scientific and Industrial Topics], No. 1314, Hermann, Paris, 1965 (French). MR 0260715
  • P. M. Cohn, Bezout rings and their subrings, Proc. Cambridge Philos. Soc. 64 (1968), 251–264. MR 222065, DOI https://doi.org/10.1017/s0305004100042791
  • R. Dedekind, Über einen arithmetischen Satz von Gauss, Mitt. Deutsch. Math. Ges., Prague, 1892, pp. 1-11; Gesammelte Werke XXII. Vol. 2.
  • Robert W. Gilmer, Multiplicative ideal theory, Queen’s Papers in Pure and Applied Mathematics, No. 12, Queen’s University, Kingston, Ont., 1968. MR 0229624
  • Robert W. Gilmer Jr., Some applications of the Hilfssatz von Dedekind-Mertens, Math. Scand. 20 (1967), 240–244. MR 236159, DOI https://doi.org/10.7146/math.scand.a-10833
  • W. Krull, Idealtheorie, Chelsea, New York, 1948.
  • Wolfgang Krull, Beiträge zur Arithmetik kommutativer Integritätsbereiche, Math. Z. 41 (1936), no. 1, 665–679 (German). MR 1545646, DOI https://doi.org/10.1007/BF01180447
  • Henry B. Mann, Introduction to algebraic number theory, The Ohio State University Press, Columbus, Ohio, 1955. With a chapter by Marshall Hall, Jr. MR 0072174
  • N. H. McCoy, Remarks on divisors of zero, Amer. Math. Monthly 49 (1942), 286–295. MR 6150, DOI https://doi.org/10.2307/2303094
  • F. Mertens, Über einen algebraischen Satz, S.-B. Akad. Wiss. Wien (2a) 101 (1892), 1560-1566.
  • D. G. Northcott, A generalization of a theorem on the content of polynomials, Proc. Cambridge Philos. Soc. 55 (1959), 282–288. MR 110732, DOI https://doi.org/10.1017/s030500410003406x
  • H. Prüfer, Untersuchungen über Teilbarkeitseigenschaften in Körpern, J. Reine Angew. Math. 168 (1932), 1-36. H. Tsang, Gauss’ lemma, Dissertation, University of Chicago, Chicago, Ill., 1965.

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