Butler groups and lattices of types

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1. Anderson I., Combinatorics of Finite Sets, Oxford University Press, New York, 1987. (1987) Zbl0604.05001MR0892525
2. Arnold D., Finite rank torsion free abelian groups and rings, Springer-Verlag Lecture Notes in Math. 931 (1982). (1982) Zbl0493.20034MR0665251
3. Arnold D., Vinsonhaler C., Pure subgroups of finite rank completely decomposable groups II, Abelian Group Theory, Springer-Verlag Lecture Notes in Math. 1006 (1983), 97-143. (1983) Zbl0522.20037MR0722614
4. Arnold D., Vinsonhaler C., Invariants for a class of torsion-free abelian groups, Proc. Amer. Math. Soc., to appear. Zbl0695.20031MR0935102
5. Arnold D., Vinsonhaler C., Duality and invariants for Butler groups, preprint. Zbl0752.20026MR1091526
6. Arnold D., Vinsonhaler C., Isomorphism invariants for a class of torsion-free abelian groups, preprint. Zbl0695.20031MR0935102
7. Butler M. C. R., A class of torsion-free abelian groups of finite rank, Proc. London Math. Soc. (3) 15 (1965), 680-698. (1965) Zbl0131.02501MR0218446
8. Crawley P., Dilworth R., Algebraic Theory of Lattices, Prentice Hall, 1973. (1973) Zbl0494.06001
9. Fuchs L., Infinite Abelian Groups, Volumes I and II, Academic Press, New York and London, 1970 and 1973. (1970) Zbl0209.05503
10. Fuchs L., Metelli C., On a class of Butler groups, preprint. Zbl0765.20026MR1094735
11. Goeters H.P., Ullery W., Homomorphic images of completely decomposable finite rank tor-sion-free groups, J. Algebra, to appear. MR1114900
12. Grätzer G., General Lattice Theory, Academic Press, Math. Vol. 75, 1978. (1978) MR0509213
13. Lee W.Y ., Co-representing graphs for a class of torsion-free abelian groups, Ph. D. thesis, New Mexico State University, 1986. (1986) 
14. Reid J. D., On the ring of quasi-endomorphisms of a torsion-free group, Topics in Abelian Groups, Chicago, 1963, 51-68. (1963) MR0169915

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