REFINEMENT MONOIDS WITH WEAK COMPARABILITY AND APPLICATIONS TO REGULAR-RINGS AND C-ASTERISK-ALGEBRAS

Authors
ARA P PARDO E
Citation
P. Ara et E. Pardo, REFINEMENT MONOIDS WITH WEAK COMPARABILITY AND APPLICATIONS TO REGULAR-RINGS AND C-ASTERISK-ALGEBRAS, Proceedings of the American Mathematical Society, 124(3), 1996, pp. 715-720
Citations number
12
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
124
Issue
3
Year of publication
1996
Pages
715 - 720
Database
ISI
SICI code
0002-9939(1996)124:3<715:RMWWCA>2.0.ZU;2-W
Abstract
We prove a cancellation theorem for simple refinement monoids satisfyi ng the weak comparability condition, first introduced by K.C. O'Meara in the context of von Neumann regular rings. This result is then appli ed to von Neumann regular rings and C-algebras of real rank zero via the monoid of isomorphism classes of finitely generated projective mod ules.