Note on the transitivity of pure essential extensions

• Autorzy: Laszlo Fuchs , Luigi Salce , Paolo Zanardo
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1998
• Tom: 78
• Numer: 2
• Strony: 283-291

Daty

wydano

1998

otrzymano

1998-01-06

poprawiono

1998-04-17

Twórcy

autor

Laszlo Fuchs

• Department of Mathematics, Tulane University, New Orleans, Louisiana 70118 U.S.A.

autor

Luigi Salce

• Dipartimento di Matematica Pura ed Applicata, Università di Padova, Via Belzoni 7, 35131 Padova, Italy

autor

Paolo Zanardo

• Dipartimento di Matematica Pura ed Applicata, Università di Padova, Via Belzoni 7, 35131 Padova, Italy

Bibliografia

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• [F] L. Fuchs, Infinite Abelian Groups, Vol. I, Academic Press, London, 1971.
• [FS] L. Fuchs and L. Salce, Modules over Valuation Domains, Lecture Notes in Pure and Appl. Math. 97, Dekker, New York, 1985.
• [GG] J. L. Gómez Pardo and P. A. Guil Asensio, Chain conditions on direct summands and pure quotient modules, preprint.
• [GJ] L. Gruson et C. U. Jensen, Modules algébriquement compacts et foncteurs $\limind^{(i)}$, C. R. Acad. Sci. Paris Sér. A-B 276 (1973), A1651-A1653.
• [K] R. Kiełpiński, On Γ-pure-injective modules, Bull. Acad. Pol. Sci. Sér. Sci. Math. Astronom. Phys. 15 (1967), 127-131.
• [M] J. M. Maranda, On pure subgroups of abelian groups, Arch. Math. (Basel) 11 (1960), 1-13.
• [S] B. T. Stenström, Pure submodules, Ark. Mat. 7 (1967), 159-171.
• [W] R. B. Warfield, Jr., Purity and algebraic compactness for modules, Pacific J. Math. 28 (1969), 699-719.