Direct finiteness of group rings - a simple proof of the Kaplansky's conjecture for finite groups

Jan Trlifaj

Commentationes Mathematicae Universitatis Carolinae (1990)

  • Volume: 031, Issue: 3, page 427-429
  • ISSN: 0010-2628

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Trlifaj, Jan. "Direct finiteness of group rings - a simple proof of the Kaplansky's conjecture for finite groups." Commentationes Mathematicae Universitatis Carolinae 031.3 (1990): 427-429. <http://eudml.org/doc/17864>.

@article{Trlifaj1990,
author = {Trlifaj, Jan},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {subgroup; direct product of finite groups; group algebra},
language = {eng},
number = {3},
pages = {427-429},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Direct finiteness of group rings - a simple proof of the Kaplansky's conjecture for finite groups},
url = {http://eudml.org/doc/17864},
volume = {031},
year = {1990},
}

TY - JOUR
AU - Trlifaj, Jan
TI - Direct finiteness of group rings - a simple proof of the Kaplansky's conjecture for finite groups
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1990
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 031
IS - 3
SP - 427
EP - 429
LA - eng
KW - subgroup; direct product of finite groups; group algebra
UR - http://eudml.org/doc/17864
ER -

References

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  1. K. R. Goodearl, Von Neumann regular rings, Pitman, London 1979. (1979) Zbl0411.16007MR0533669
  2. G. Losey, Are one-sided inverses two-sided inverses in a matrix ring over a group ring?, Canad. Math. Bull. 13 (4) (1970), 475-479. (1970) Zbl0209.05901MR0272822
  3. A. V. Mikhalev A. E. Zalesski, Group rings, Contemp. problems of math. 2 (1973), 5-118. (1973) MR0414623
  4. D. S. Passman, The algebraic structure of group rings, J. Wiley, New York 1977. (1977) Zbl0368.16003MR0470211

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