A note on clean abelian groups

Brendan Goldsmith; Peter Vámos

Rendiconti del Seminario Matematico della Università di Padova (2007)

  • Volume: 117, page 181-191
  • ISSN: 0041-8994

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Goldsmith, Brendan, and Vámos, Peter. "A note on clean abelian groups." Rendiconti del Seminario Matematico della Università di Padova 117 (2007): 181-191. <http://eudml.org/doc/108710>.

@article{Goldsmith2007,
author = {Goldsmith, Brendan, Vámos, Peter},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {units; idempotents; torsion-complete Abelian -groups; clean groups; totally projective -groups},
language = {eng},
pages = {181-191},
publisher = {Seminario Matematico of the University of Padua},
title = {A note on clean abelian groups},
url = {http://eudml.org/doc/108710},
volume = {117},
year = {2007},
}

TY - JOUR
AU - Goldsmith, Brendan
AU - Vámos, Peter
TI - A note on clean abelian groups
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2007
PB - Seminario Matematico of the University of Padua
VL - 117
SP - 181
EP - 191
LA - eng
KW - units; idempotents; torsion-complete Abelian -groups; clean groups; totally projective -groups
UR - http://eudml.org/doc/108710
ER -

References

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  2. [2] A. L. S. CORNER - R. GÖBEL, Prescribing endomorphism algebras - a unified treatment, Proc. London Math. Soc., 50 (1985), pp. 447-479. Zbl0562.20030MR779399
  3. [3] L. FUCHS, Recent Results and Problems on Abelian Groups, in Topics in Abelian Groups, Scott Foresman (1963), pp. 9-40. MR169906
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  5. [5] B. GOLDSMITH - S. PABST - A. SCOTT, Unit Sum Numbers of Rings and Modules, Quart. J. Math., 49 (1998), pp. 331-344. Zbl0933.16035MR1645560
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  7. [7] J. HAN - W. K. NICHOLSON, Extensions of clean rings, Comm. Algebra, 29 (2001), pp. 2589-2596. Zbl0989.16015MR1845131
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  10. [10] W. LIEBERT, Characterization of the Endomorphism Rings of Divisible Torsion Modules and Reduced Complete Torsion-Free Modules over Complete Discrete Valuation Rings, Pacific J. Math., 37 (1971), pp. 141-170. Zbl0214.05704MR310018
  11. [11] C. MEEHAN, Sums of Automorphisms of Free Abelian Groups and Modules, Proc. Royal Irish Academy, 104A (2004), pp. 59-66. Zbl1088.16001MR2139510
  12. [12] W. K. NICHOLSON, Lifting idempotents and exchange rings, Trans. Amer. Math. Soc., 229 (1977), pp. 269-278. Zbl0352.16006MR439876
  13. [13] W. K. NICHOLSON - K. VARADARAJAN - Y. ZHOU, Clean endomorphism rings, to appear in Archiv der Mathematik. Zbl1067.16051MR2096806
  14. [14] M. Ó SEARCÓID, Perturbation of Linear Operators by Idempotents, Irish Math. Soc. Bulletin, 39 (1997), pp. 10-13. Zbl0902.47010MR1492337
  15. [15] R. S. PIERCE, Homomorphisms of Primary Abelian Groups, in Topics in Abelian Groups, Scott Foresman (1963), pp. 215-310. MR177035
  16. [16] L. SALCE, Struttura dei p-gruppi abeliani, Pitagora Editrice, Bologna, 1980. Zbl0599.20087
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  18. [18] P. VÁMOS, Clean Rings, to appear. 

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