Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
Albrecht, Ulrich. The construction of $A$-solvable Abelian groups. Czechoslovak Mathematical Journal, Tome 44 (1994) no. 3, pp. 413-430. doi: 10.21136/CMJ.1994.128480
@article{10_21136_CMJ_1994_128480,
author = {Albrecht, Ulrich},
title = {The construction of $A$-solvable {Abelian} groups},
journal = {Czechoslovak Mathematical Journal},
pages = {413--430},
year = {1994},
volume = {44},
number = {3},
doi = {10.21136/CMJ.1994.128480},
mrnumber = {1288162},
zbl = {0823.20056},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1994.128480/}
}
TY - JOUR AU - Albrecht, Ulrich TI - The construction of $A$-solvable Abelian groups JO - Czechoslovak Mathematical Journal PY - 1994 SP - 413 EP - 430 VL - 44 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1994.128480/ DO - 10.21136/CMJ.1994.128480 LA - en ID - 10_21136_CMJ_1994_128480 ER -
[A3] Albrecht, U.: Faithful abelian groups of infinite rank. Proc. Amer. Math. Soc. 103 (1) (1988), 21–26. | DOI | MR | Zbl
[A1] Albrecht, U.: Endomorphism rings of faithfully flat abelian groups. Results in Mathematics 17 (1990), 179–201. | DOI | MR | Zbl
[A2] Albrecht, U.: Abelian groups $A$ such that the category of $A$-solvable groups is preabelian. Contemporary Mathematics 87 (1989), 117–131. | DOI | MR | Zbl
[A4] Albrecht, U.: Endomorphism rings and a generalization of torsion-freeness and purity. Communications in Algebra 17 (5) (1989), 1101–1135. | DOI | MR | Zbl
[ACH] Albrecht, U.: Extension functors on the category of $A$-solvable abelian groups. Czech. Math. J. 41 (116) (1991), 685–694. | MR | Zbl
[AWM] Albrecht, U.: Endomorphism rings and Fuchs’ Problem 47. (to appear).
[AH] Albrecht, U., and Hausen, J.: Modules with the quasi-summand intersection property. Bull. Austral. Math. Soc. 44 (1991), 189–201. | DOI | MR
[AL] Arnold, D., and Lady, L.: Endomorphism rings and direct sums of torsion-free abelian groups. Trans. Amer. Math. Soc. 211 (1975), 225–237. | DOI | MR
[AM] Arnold, D., and Murley, E.: Abelian groups, $A$, such that $\mathop {\mathrm Hom}\nolimits (A,-)$ preserves direct sums of copies of $A$. Pac. J. of Math. 56 (1975), 7–20. | DOI | MR
[DG] Dugas, M., and Göbel, R.: Every cotorsion-free ring is an endomorphism ring. Proc. London Math. Soc. 45 (1982), 319–336. | MR
[F] Faticoni, T.: Semi-local localization of rings and subdirect decomposition of modules. J. of Pure and Appl. Alg. 46 (1987), 137–163. | DOI
[FG] Faticoni, T., and Goeters, P.: Examples of torsion-free abelian groups flat as modules over their endomorphism rings. Comm. in Algebra 19 (1991), 1–27. | DOI | MR
[FG1] Faticoni, T., and Goeters, P.: On torsion-free $\mathop {\mathrm Ext}\nolimits $. Comm. in Algebra 16 (9) (1988), 1853–1876. | MR
[Fu] Fuchs, L.: Infinite Abelian Groups Vol. I/II. Academic Press, New York, London, 1970/73. | MR
[FR] Gruson, L., and Raynaud, M.: Criteres de platitude et de projectivite. Inv. Math. 13 (1971), 1–89. | DOI | MR
[H] Hausen, J.: Modules with the summand intersection property. Comm. in Algebra 17 (1989), 135–148. | DOI | MR | Zbl
[R] Reid, J.: A note on torsion-free abelian groups of finite rank. Proc. Amer. Math. Soc. 13 (1962), 222–225. | DOI | MR
[ST] Stenström, B.: Rings of Quotients. Springer Verlag, Berlin, New York, Heidelberg, 1975. | MR
[W] Warfield, R.: Homomorphisms and duality for torsion-free groups. Math. Z. 107 (1968), 189–200. | DOI | MR | Zbl
Cité par Sources :