@article{RSMUP_2007__117__181_0, author = {Goldsmith, Brendan and V\'amos, Peter}, title = {A note on clean abelian groups}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, pages = {181--191}, publisher = {Seminario Matematico of the University of Padua}, volume = {117}, year = {2007}, mrnumber = {2351794}, zbl = {1160.20049}, language = {en}, url = {http://archive.numdam.org/item/RSMUP_2007__117__181_0/} }
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 SP - 181 EP - 191 VL - 117 PB - Seminario Matematico of the University of Padua UR - http://archive.numdam.org/item/RSMUP_2007__117__181_0/ LA - en ID - RSMUP_2007__117__181_0 ER -
%0 Journal Article %A Goldsmith, Brendan %A Vámos, Peter %T A note on clean abelian groups %J Rendiconti del Seminario Matematico della Università di Padova %D 2007 %P 181-191 %V 117 %I Seminario Matematico of the University of Padua %U http://archive.numdam.org/item/RSMUP_2007__117__181_0/ %G en %F RSMUP_2007__117__181_0
Goldsmith, Brendan; Vámos, Peter. A note on clean abelian groups. Rendiconti del Seminario Matematico della Università di Padova, Tome 117 (2007), pp. 181-191. http://archive.numdam.org/item/RSMUP_2007__117__181_0/
[1] Continuous modules are clean, to appear in J. Algebra. | MR | Zbl
- - - - ,[2] Prescribing endomorphism algebras - a unified treatment, Proc. London Math. Soc., 50 (1985), pp. 447-479. | MR | Zbl
- ,[3] Recent Results and Problems on Abelian Groups, in Topics in Abelian Groups, Scott Foresman (1963), pp. 9-40. | MR
,[4] Infinite Abelian Groups,Vol. I & II, Academic Press 1970, 1973. | MR | Zbl
,[5] Unit Sum Numbers of Rings and Modules, Quart. J. Math., 49 (1998), pp. 331-344. | MR | Zbl
- - ,[6] Torsion-free Groups and Modules with the Involution Property, to appear in Journal Pure and Applied Algebra. | MR | Zbl
- - ,[7] Extensions of clean rings, Comm. Algebra, 29 (2001), pp. 2589-2596. | MR | Zbl
- ,[8] Endomorphism rings generated by units, Trans. Amer. Math. Soc., 141 (1969), pp. 99-105. | MR | Zbl
,[9] Infinite Abelian Groups, University of Michigan Press, Ann Arbour, 1954 and 1969. | MR | Zbl
,[10] 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. | MR | Zbl
,[11] Sums of Automorphisms of Free Abelian Groups and Modules, Proc. Royal Irish Academy, 104A (2004), pp. 59-66. | MR | Zbl
,[12] Lifting idempotents and exchange rings, Trans. Amer. Math. Soc., 229 (1977), pp. 269-278. | MR | Zbl
,[13] Clean endomorphism rings, to appear in Archiv der Mathematik. | MR | Zbl
- - ,[14] Perturbation of Linear Operators by Idempotents, Irish Math. Soc. Bulletin, 39 (1997), pp. 10-13. | MR | Zbl
,[15] Homomorphisms of Primary Abelian Groups, in Topics in Abelian Groups, Scott Foresman (1963), pp. 215-310. | MR
,[16] Struttura dei p-gruppi abeliani, Pitagora Editrice, Bologna, 1980. | Zbl
,[17] 2 - Good Rings, Quart. J. Math., 56 (2005), pp. 417-430. | MR | Zbl
,[18] Clean Rings, to appear.
,