6 papers
Commutator theory for uniformities
William H. Rowan
We investigate commutator operations on compatible uniformities of an algebra. We present a commutator operation for compatible uniformities of an algebra in a congruence-modular v…
Modulization and the enveloping ringoid
William H. Rowan
Let A be an algebra in a variety V. We study the modulization of a pointed A-overalgebra P, show that it is totally in any variety that P is totally in, and apply this theory to th…
Abelian extensions of algebras in congruence-modular varieties
William H. Rowan
We define abelian extensions of algebras in congruence-modular varieties. The theory is sufficiently general that it includes, in a natural way, extensions of R-modules for a ring…
Algebras with a compatible uniformity
William H. Rowan
Given a variety of algebras V, we study categories of algebras in V with a compatible structure of uniform space. The lattice of compatible uniformities of an algebra, Unif A, can…
Regular coverings in filter and ideal lattices
William H. Rowan
The Dedekind-Birkhoff theorem for finite-height modular lattices has previously been generalized to complete modular lattices using the theory of regular coverings. In this paper,…
Jonssons's theorem in non-modular varieties
William H. Rowan
A version of Jonsson's theorem, as previously generalized, holds in non-modular varieties.