The almost isomorphism relation for simple regular rings.

Ara, Pere, and Goodearl, Kenneth R.. "The almost isomorphism relation for simple regular rings.." Publicacions Matemàtiques 36.2A (1992): 369-388. <http://eudml.org/doc/41718>.

@article{Ara1992,
abstract = {A longstanding open problem in the theory of von Neumann regular rings is the question of whether every directly finite simple regular ring must be unit-regular. Recent work on this problem has been done by P. Menal, K. C. O'Meara, and the authors. To clarify some aspects of these new developments, we introduce and study the notion of almost isomorphism between finitely generated projective modules over a simple regular ring.},
author = {Ara, Pere, Goodearl, Kenneth R.},
journal = {Publicacions Matemàtiques},
keywords = {von Neuman regular rings; directly finite simple regular ring; unit-regular rings; almost isomorphisms; finitely generated projective modules},
language = {eng},
number = {2A},
pages = {369-388},
title = {The almost isomorphism relation for simple regular rings.},
url = {http://eudml.org/doc/41718},
volume = {36},
year = {1992},
}

TY - JOUR
AU - Ara, Pere
AU - Goodearl, Kenneth R.
TI - The almost isomorphism relation for simple regular rings.
JO - Publicacions Matemàtiques
PY - 1992
VL - 36
IS - 2A
SP - 369
EP - 388
AB - A longstanding open problem in the theory of von Neumann regular rings is the question of whether every directly finite simple regular ring must be unit-regular. Recent work on this problem has been done by P. Menal, K. C. O'Meara, and the authors. To clarify some aspects of these new developments, we introduce and study the notion of almost isomorphism between finitely generated projective modules over a simple regular ring.
LA - eng
KW - von Neuman regular rings; directly finite simple regular ring; unit-regular rings; almost isomorphisms; finitely generated projective modules
UR - http://eudml.org/doc/41718
ER -