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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 if . 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 has a natural partial order defined by if ; it generalizes the natural order on a boolean ring. The article examines when is a lower sem…
math.RA2014
On strongly clean matrices over commutative clean rings
Walter Burgess
The literature about strongly clean matrices over commutative rings is quite extensive. The sharpest results are about matrices over commutative local rings, for example those by B…