Fair-sized projective modules

Pavel Příhoda

Rendiconti del Seminario Matematico della Università di Padova (2010)

  • Volume: 123, page 141-168
  • ISSN: 0041-8994

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Příhoda, Pavel. "Fair-sized projective modules." Rendiconti del Seminario Matematico della Università di Padova 123 (2010): 141-168. <http://eudml.org/doc/240633>.

@article{Příhoda2010,
author = {Příhoda, Pavel},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {infinitely generated modules; superdecomposable projective modules; countably generated projective modules; Noetherian rings; semilocal rings; integral group rings; superdecomposable projective modules; universal enveloping algebras},
language = {eng},
pages = {141-168},
publisher = {Seminario Matematico of the University of Padua},
title = {Fair-sized projective modules},
url = {http://eudml.org/doc/240633},
volume = {123},
year = {2010},
}

TY - JOUR
AU - Příhoda, Pavel
TI - Fair-sized projective modules
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2010
PB - Seminario Matematico of the University of Padua
VL - 123
SP - 141
EP - 168
LA - eng
KW - infinitely generated modules; superdecomposable projective modules; countably generated projective modules; Noetherian rings; semilocal rings; integral group rings; superdecomposable projective modules; universal enveloping algebras
UR - http://eudml.org/doc/240633
ER -

References

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  12. [12] G. Puninski, When a projective module is a direct sum of finitely generated modules, preprint, 2004. 
  13. [13] P. Příhoda, Projective modules are determined by their radical factors, J. Pure Appl. Algebra, 210 (2007), pp. 827--835. Zbl1124.16002MR2324609
  14. [14] K. W. Roggenkamp, Integral group rings of solvable finite groups have no idempotent ideals, Arch. Math., 25 (1974), pp. 125--128. Zbl0282.20002MR342549
  15. [15] L. W. Small - J. C. Robson, Idempotent ideals in P.I. rings, Journal London Math. Soc. (2), 14 (1976), pp. 120--122. Zbl0347.16012MR422336
  16. [16] R. G. Swan, Induced representations and projective modules, Ann. of Math., 71 (1960), pp. 552--578. Zbl0104.25102MR138688
  17. [17] R. G. Swan, The Grothendieck ring of a finite group, Topology, 2 (1963), pp. 85--110. Zbl0119.02905MR153722
  18. [18] J. M. Whitehead, Projective modules and their trace ideals, Comm. Algebra, 8 (19) (1980), pp. 1873--1901. Zbl0447.16018MR588450

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