Maximal quotient rings and essential right ideals in group rings of locally finite groups.

Ferrán Cedó; Brian Hartley

Publicacions Matemàtiques (1992)

  • Volume: 36, Issue: 2A, page 473-480
  • ISSN: 0214-1493

Abstract

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Let k be a commutative field. Let G be a locally finite group without elements of order p in case char k = p > 0. In this paper it is proved that the type I∞ part of the maximal right quotient ring of the group algebra kG is zero.

How to cite

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Cedó, Ferrán, and Hartley, Brian. "Maximal quotient rings and essential right ideals in group rings of locally finite groups.." Publicacions Matemàtiques 36.2A (1992): 473-480. <http://eudml.org/doc/41729>.

@article{Cedó1992,
abstract = {Let k be a commutative field. Let G be a locally finite group without elements of order p in case char k = p &gt; 0. In this paper it is proved that the type I∞ part of the maximal right quotient ring of the group algebra kG is zero.},
author = {Cedó, Ferrán, Hartley, Brian},
journal = {Publicacions Matemàtiques},
keywords = {locally finite group; group algebra; von Neumann regular ring; type part; maximal right quotient ring},
language = {eng},
number = {2A},
pages = {473-480},
title = {Maximal quotient rings and essential right ideals in group rings of locally finite groups.},
url = {http://eudml.org/doc/41729},
volume = {36},
year = {1992},
}

TY - JOUR
AU - Cedó, Ferrán
AU - Hartley, Brian
TI - Maximal quotient rings and essential right ideals in group rings of locally finite groups.
JO - Publicacions Matemàtiques
PY - 1992
VL - 36
IS - 2A
SP - 473
EP - 480
AB - Let k be a commutative field. Let G be a locally finite group without elements of order p in case char k = p &gt; 0. In this paper it is proved that the type I∞ part of the maximal right quotient ring of the group algebra kG is zero.
LA - eng
KW - locally finite group; group algebra; von Neumann regular ring; type part; maximal right quotient ring
UR - http://eudml.org/doc/41729
ER -

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