closure ring; commuting idempotents; central idempotents; Baer ring
We consider rings equipped with a closure operation defined in terms of a collection of commuting idempotents, generalising the idea of a topological closure operation defined on a ring of sets. We establish the basic properties of such rings, consider examples and construction methods, and then concentrate on rings which have a closure operation defined in terms of their lattice of central idempotents.
 Picavet G.: Ultrafiltres sur un espace spectral-anneaux de Baer-anneaux à spectre minimal compact
. Math. Scand. 46 (1980), 23-25. MR 0585229
| Zbl 0491.13003