Campus Units

Mathematics

Document Type

Book Chapter

Publication Version

Accepted Manuscript

Publication Date

3-21-2018

Journal or Book Title

Don Pigozzi on Abstract Algebraic Logic, Universal Algebra, and Computer Science

First Page

103

Last Page

130

DOI

10.1007/978-3-319-74772-9_4

Abstract

We present and discuss a variety of Boolean algebras with operators that is closely related to the variety generated by all complex algebras of semilattices. We consider the problem of finding a generating set for the variety, representation questions, and axiomatizability. Several interesting subvarieties are presented. We contrast our results with those obtained for a number of other varieties generated by complex algebras of groupoids.

Comments

This is a manuscript of a chapter from Bergman C. (2018) Introducing Boolean Semilattices. In: Czelakowski J. (eds) Don Pigozzi on Abstract Algebraic Logic, Universal Algebra, and Computer Science. Outstanding Contributions to Logic, vol 16. Springer, Cham. doi: 10.1007/978-3-319-74772-9_4. Posted with permission.

Copyright Owner

Springer International Publishing AG, part of Springer Nature 2018

Language

en

File Format

application/pdf

Available for download on Thursday, March 21, 2019

Published Version

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