W. Burgess

most citedThe reduced ring order and lower semi-lattices II

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

collaborators

3 papers

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.GN2020

Tychonoff spaces and a ring theoretic order on $C (X)$

W. D. Burgess, R. Raphael

The reduced ring order (rr-order) is a natural partial order on a reduced ring $R$ given by $r \leq_{rr} s$ if $r^{2} = r s$ . It can be studied algebraically or topologically in ri…

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…

The reduced ring order and lower semi-lattices II

Tychonoff spaces and a ring theoretic order on C(X)

The reduced ring order and lower semi-lattices

Tychonoff spaces and a ring theoretic order on $C (X)$