The idempotent lifting theorem for almost completely decomposable abelian groups

A. Mader; C. Vinsonhaler

Colloquium Mathematicae (1997)

  • Volume: 72, Issue: 2, page 305-317
  • ISSN: 0010-1354

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Mader, A., and Vinsonhaler, C.. "The idempotent lifting theorem for almost completely decomposable abelian groups." Colloquium Mathematicae 72.2 (1997): 305-317. <http://eudml.org/doc/210466>.

@article{Mader1997,
author = {Mader, A., Vinsonhaler, C.},
journal = {Colloquium Mathematicae},
keywords = {finite rings of endomorphisms; almost completely decomposable groups; finite rank torsion-free Abelian groups; fully invariant completely decomposable subgroups of finite index; critical type posets; type subgroups; invariants; idempotent lifting theorem; complete sets of orthogonal idempotents; primary regulating quotients; indecomposable decompositions; near-isomorphisms},
language = {eng},
number = {2},
pages = {305-317},
title = {The idempotent lifting theorem for almost completely decomposable abelian groups},
url = {http://eudml.org/doc/210466},
volume = {72},
year = {1997},
}

TY - JOUR
AU - Mader, A.
AU - Vinsonhaler, C.
TI - The idempotent lifting theorem for almost completely decomposable abelian groups
JO - Colloquium Mathematicae
PY - 1997
VL - 72
IS - 2
SP - 305
EP - 317
LA - eng
KW - finite rings of endomorphisms; almost completely decomposable groups; finite rank torsion-free Abelian groups; fully invariant completely decomposable subgroups of finite index; critical type posets; type subgroups; invariants; idempotent lifting theorem; complete sets of orthogonal idempotents; primary regulating quotients; indecomposable decompositions; near-isomorphisms
UR - http://eudml.org/doc/210466
ER -

References

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  1. [AF92] F. W. Anderson and K. R. Fuller, Rings and Categories of Modules, Grad. Texts in Math. 13, 2nd ed., Springer, 1992. 
  2. [Arn82] D. M. Arnold, Finite Rank Torsion Free Abelian Groups and Rings, Lecture Notes in Math. 931, Springer, 1982. 
  3. [BM94] E. A. Blagoveshchenskaya and A. Mader, Decompositions of almost completely decomposable groups, in: Contemp. Math. 171, Amer. Math. Soc., 1994, 21-36. Zbl0833.20063
  4. [FS96] T. Faticoni and P. Schultz, Direct decompositions of acd groups with primary regulating index, in: Abelian Groups and Modules, Proc. 1995 Colorado Springs Conf., Marcel Dekker, 1996. Zbl0869.20038
  5. [Fuc73] L. Fuchs, Infinite Abelian Groups, Vols. I and II, Academic Press, 1970 and 1973. 
  6. [KM84] K.-J. Krapf and O. Mutzbauer, Classification of almost completely decomposable groups, in: Abelian Groups and Modules, Proc. Udine Conf. 1984, CISM Courses and Lectures 287, Springer, 1984, 151-161. Zbl0569.20043
  7. [Mad95] A. Mader, Almost completely decomposable torsion-free abelian groups, in: Abelian Groups and Modules, Proc. 1994 Padova Conf., Kluwer, 1995, 343-366. Zbl0845.20041
  8. [MV94] A. Mader and C. Vinsonhaler, Classifying almost completely decomposable groups, J. Algebra 170 (1994), 754-780. Zbl0818.20066
  9. [Sch95] P. Schultz, The near endomorphism ring of an almost completely decomposable group, in: Abelian Groups and Modules, Proc. 1994 Padova Conf., Kluwer, 1995, 441-452. Zbl0844.20033

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