# The almost isomorphism relation for simple regular rings.

Publicacions Matemàtiques (1992)

- Volume: 36, Issue: 2A, page 369-388
- ISSN: 0214-1493

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topAra, 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 -