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Communications in Algebra Volume 31, 2003 - Issue 1
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Original Articles

Direct Sums of Quotient Divisible Groups

W. J. Wickless Department of Mathematics, University of Connecticut, Storrs, Connecticut, USA; Department of Mathematics, University of Connecticut, Storrs, CT, 06269, USACorrespondence[email protected].
Pages 79-96 | Received 19 Jun 2000, Published online: 01 Feb 2007

References

  • Albrecht , U. A-projective resolutions and an Azumaya theorem for mixed abelian groups . Czech. J. Math. , to appear
  • Albrecht , U. , Goeters , H. P. and Wickless , W. 1995 . The flat dimension of mixed abelian groups as E-modules . Rocky Mt. J. Math. , 25 ( 2 ) : 569 – 590 .
  • Anderson , F. and Fuller , K. 1974 . “ Rings and Categories of Modules ” . New York : Springer-Verlag .
  • Arnold , D. 1972 . A duality for quotient divisible abelian groups of finite rank . Pac. J. Math. , 42 : 11 – 15 .
  • Beaumont , R. and Pierce , R. 1961 . Torsion-free rings, Ill . J. Math. , 5 : 61 – 98 .
  • Files , S. and Wickless , W. 1996 . The Baer-Kaplansky Theorem for a class of global mixed abelian groups . Rocky Mt. J. Math. , 26 ( 2 ) : 593 – 613 .
  • Files , S. and Wickless , W. 1999 . Direct sums of self-small mixed groups . J. Algebra , 222 : 1 – 16 .
  • Fomin , A. and Wickless , W. 1995 . “ Categories of mixed and torsion-free abelian groups ” . In Abelian Groups and Modules 185 – 192 . Boston : Kluwer .
  • Fomin , A. and Wickless , W. 1998a . Quotient divisible abelian groups . Proc. A.M.S. , 126 : 45 – 52 .
  • Fomin , A. and Wickless , W. 1998b . Self-small mixed abelian groups G with G/T(G) finite rank divisible . Comm. in Algebra , 26 : 3563 – 3580 .
  • Fuchs , L. 1973 . Infinite Abelian Groups II New York : Academic Press .
  • Glaz , S. and Wickless , W. 1994 . Regular and principal projective endomorphism rings of mixed abelian groups . Comm. in Algebra , 22 ( 4 ) : 1161 – 1176 .
  • Vinsonhaler , C. and Wickless , W. 1994 . Realizations of finite dimensional algebras over the rationals . Rocky Mt. J. Math. , 24 ( 4 ) : 1553 – 1565 .
  • Wickless , W. 1995 . A functor from mixed groups to torsion-free groups . Cont. Math. , 171 : 407 – 419 .

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