Idempotent generated algebras and Boolean powers of commutative rings

Guram Bezhanishvili, Vincenzo Marra, Patrick J. Morandi, Bruce Olberding
unpublished
For a commutative ring R, we introduce the notion of a Specker R-algebra and show that Specker R-algebras are Boolean powers of R. For an indecomposable ring R, this yields an equivalence between the category of Specker R-algebras and the category of Boolean algebras. Together with Stone duality this produces a dual equivalence between the category of Specker R-algebras and the category of Stone spaces.
doi:10.29007/dgb4 fatcat:qzna4bqtrzglrgsy2uw3wjzj3e