@article{RSMUP_1990__84__263_0,
author = {Pierce, R. S. and Vinsonhaler, C. I.},
title = {Carriers of torsion-free groups},
journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
volume = {84},
year = {1990},
pages = {263-281},
mrnumber = {1101299},
zbl = {0733.20033},
language = {en},
url = {http://dml.mathdoc.fr/item/RSMUP_1990__84__263_0}
}
Pierce, R. S.; Vinsonhaler, C. I. Carriers of torsion-free groups. Rendiconti del Seminario Matematico della Università di Padova, Tome 84 (1990) pp. 263-281. http://gdmltest.u-ga.fr/item/RSMUP_1990__84__263_0/
[A] , Finite rank torsion free abelian groups and rings, Lecture Notes in Mathematics, 931, Springer-verlag, Berlin, Heidelberg, New York, 1982. | MR 665251 | Zbl 0493.20034
[A-M] - , Introduction to Commutative Algebra, Addison-Wesley, Reading, 1969. | MR 242802 | Zbl 0175.03601
[A-P-R-V-W] - - - - , Torsion free abelian groups of finite rank projective as modules over their endomorphism rings, Jour. Alg., 71 (1981), pp. 1-10. | MR 627421 | Zbl 0464.20039
[B1] , On locally free torsion-free rings of finite rank, J. Lond. Math. Soc., 43 (1968), pp. 297-300. | MR 225878 | Zbl 0155.07202
[B2] , A Galois-theoretic description of certain quasi-endomorphism rings, Symposia Mathematica, 13 (1974), pp. 143-151. | MR 357514 | Zbl 0312.16026
[B-S] - , Unital rings whose additive endomorphisms commute, Math. Ann., 228 (1977), pp. 197-214. | MR 498691 | Zbl 0336.20040
[C] , Every countable reduced torsion-free ring is an endomorphism ring, Proc. Lond. Math. Soc., (3), 13 (1963), pp. 687-710. | MR 153743 | Zbl 0116.02403
[D-V-M] - - , Large E-rings exist, J. Algebra, 108 (1987), pp. 88-101. | MR 887193 | Zbl 0616.20026
[J] , Lectures in Abstract Algebra, vol. III, Von Nostrand, Princeton, 1964.
[K] , Homogeneously decomposable modutes, Studies on Abelian Groups, Paris (1968), pp. 223-238. | MR 244228 | Zbl 0213.30802
[M-V] - , Torsion-free E-modules, J. Alg., 115 (1988), pp. 401-411. | MR 943264 | Zbl 0639.13010
[N] , Class Field Theory, Springer-Verlag, Berlin, Heidelberg, New York, Tokyo, 1980. | MR 819231 | Zbl 0587.12001
[P1] , Subrings of simple algebras, Mich. Math. J., 7 (1960), pp. 241-243. | MR 148707 | Zbl 0103.26803
[P2] , Permutation representations with trivial set stabilizers, J. Alg., 95 (1985), pp. 88-95. | MR 797657 | Zbl 0595.20007
[P-V1] - , Realizing central division algebras, Pac. J. Math., 109 (1983), pp. 165-177; correction, 130 (1987), pp. 397-399. | MR 716296 | Zbl 0533.16009
[P-V2] - , Realizing algebraic number fields, Lecture Notes in Mathematics, 1006, Springer-Verlag, New York (1982/83), pp. 49-96. | MR 722613 | Zbl 0515.12006
[P-V3] - , Classifying E-rings (manuscript).
[Re] , On the ring of quasi-endomorphisms of a torsion-free group Topics in Abelian Groups, Chicago (1963), pp. 51-68. | MR 169915
[Ri] , Modules sur un anneau de Dedekind, Summa Brasil Math., 3 (1952), pp. 21-36. | MR 55976 | Zbl 0049.16001
[S] , The endomorphism ring of the additive group of a ring, J. Aust. Math. Soc., 15 (1973), pp. 60-69. | MR 338218 | Zbl 0257.20037
[W] , Algebraic Number Theory, McGraw-Hill, New York, 1963. | MR 159805 | Zbl 0115.03601
[Z] , Orders as endomorphism rings of modules of the same rank, J. Lond. Math. Soc., 42 (1967), pp. 180-182. | MR 206051 | Zbl 0145.26405