Specker Algebras: A Survey
Rings and Algebras
2020-01-29 v2
Abstract
For a commutative ring with identity, a Specker -algebra is a commutative unital -algebra generated by a Boolean algebra of idempotents, each nonzero element of which is faithful. Such algebras have arisen in the study of -groups, idempotent-generated rings, Boolean powers of commutative rings, Pierce duality, and rings of continuous real-valued functions. We trace the origin of this notion from early studies of subgroups of bounded integer-valued functions to a variety of current contexts involving ring-theoretic, topological, and homological aspects of idempotent-generated algebras.
Cite
@article{arxiv.2001.08797,
title = {Specker Algebras: A Survey},
author = {Guram Bezhanishvili and Patrick J. Morandi and Bruce Olberding},
journal= {arXiv preprint arXiv:2001.08797},
year = {2020}
}