RT journal article
T1 Comparability, Separativity, and exchange rings
A1 Pardo Espino, Enrique
A2 Matemáticas
AB There are several long-standing open problems which ask whetherregular rings, and C -algebras of real rank zero, satisfy certain modulecancellation properties. Ara, Goodearl, O'Meara and Pardo recentlyobserved that both types of rings are exchange rings, and showed thatseparative exchange rings have these good cancellation properties, thusanswering the questions a rmatively in the separative case. In this ar-ticle, we prove that, for any positive integer s, exchange rings satisfyings-comparability are separative, thus answering the questions a rma-tively in the s-comparable case.We also introduce the weaker, more technical, notion of generalizeds-comparability, and show that this condition still implies separativityfor exchange rings. On restricting to directly  nite regular rings, werecover results of Ara, O'Meara and Tyukavkin.
SN 0092-7872
YR 1996
FD 1996-01-01T00:00:00Z
LK http://hdl.handle.net/10498/16079
UL http://hdl.handle.net/10498/16079
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026