Note on quasi-decompositions of irreducible groups
Author:
E. F. Cornelius
Journal:
Proc. Amer. Math. Soc. 26 (1970), 33-36
MSC:
Primary 20.30
DOI:
https://doi.org/10.1090/S0002-9939-1970-0263917-8
MathSciNet review:
0263917
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Abstract | References | Similar Articles | Additional Information
Abstract: A quasi-decomposition theorem is obtained for a torsion free abelian group with quasi-endomorphism algebra satisfying the minimum condition on left ideals.
- R. A. Beaumont and R. S. Pierce, Torsion-free rings, Illinois J. Math. 5 (1961), 61–98. MR 148706 E. F. Cornelius, Jr., The quasi-endomorphism algebra of a torsion free abelian group, Doctoral Thesis, University of Washington, Seattle, Wash., 1969, pp. 1-13.
- L. Fuchs, Abelian groups, International Series of Monographs on Pure and Applied Mathematics, Pergamon Press, New York-Oxford-London-Paris, 1960. MR 0111783
- Nathan Jacobson, Structure of rings, American Mathematical Society Colloquium Publications, Vol. 37, American Mathematical Society, 190 Hope Street, Prov., R. I., 1956. MR 0081264
- R. S. Pierce, Subrings of simple algebras, Michigan Math. J. 7 (1960), 241–243. MR 148707
- J. D. Reid, On quasi-decomposition of torsion free Abelian groups, Proc. Amer. Math. Soc. 13 (1962), 550–554. MR 137760, DOI https://doi.org/10.1090/S0002-9939-1962-0137760-X
- James D. Reid, On the ring of quasi-endomorphisms of a torsion-free group, Topics in Abelian Groups (Proc. Sympos., New Mexico State Univ., 1962), Scott, Foresman and Co., Chicago, Ill., 1963, pp. 51–68. MR 0169915
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Additional Information
Keywords:
Quasi-isomorphism,
quasi-decomposition,
quasi-endomorphism algebra,
minimum condition,
finite topology
Article copyright:
© Copyright 1970
American Mathematical Society