R. Raphael

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19992020

most citedThe reduced ring order and lower semi-lattices II

3 citations · 3 across the 2 of their papers we have counts for

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math.RA2020★ 3 cited

The reduced ring order and lower semi-lattices II

W. D. Burgess, R. Raphael

This paper continues the study of the reduced ring order (rr-order) in reduced rings where $a < b$ if $a^{2} = ab$ . A reduced ring is called rr-good if it is a lower semi-lattice in th…

math.RA2018

The reduced ring order and lower semi-lattices

W. D. Burgess, R. Raphael

Every reduced ring $R$ has a natural partial order defined by $a \leq b$ if $a^{2} = ab$ ; it generalizes the natural order on a boolean ring. The article examines when $R$ is a lower sem…

math.RA1999

$K_{1}$ of separative exchange rings and C*-algebras with real rank zero

P. Ara, K. R. Goodearl, K. C. O'Meara +1

For any (unital) exchange ring $R$ whose finitely generated projective modules satisfy the separative cancellation property ( $A \oplus A ≅ A \oplus B ≅ B \oplus B$ implies $A\co…

The reduced ring order and lower semi-lattices II

The reduced ring order and lower semi-lattices

K1​ of separative exchange rings and C*-algebras with real rank zero

$K_{1}$ of separative exchange rings and C*-algebras with real rank zero