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math.AC2026
Adjoining Idempotents to a Commutative Ring preprint version
W. D. Burgess, R. Raphael
Everything takes place in the category of commutative unitary rings. For a fixed ring , $\alg{R}$ is the class of -algebras and $\igr{R}$ the subclass of idempotent generated…
math.AC2022
On extending C^k functions from an open set to R, with applications
W. D. Burgess, R. Raphael
For and open in , let $\C^{\,k}(U)$ be the ring of real valued functions on with the first derivatives continuous. It is shown for $f\in \…