Almost rigid Hopfian and dual Hopfian atomic Boolean algebras

James Thomas Loats and Judith Roitman

Vol. 97 (1981), No. 1, 141–150

DOI: 10.2140/pjm.1981.97.141

Abstract

There are no nontrivial constraints on the number of atoms and the size of an almost rigid dual Hopfian atomic Boolean algebra with no more than c atoms; and no nontrivial constraints on the number of atoms of an almost rigid Hopfian, dual Hopfian atomic Boolean algebra of size c.

Mathematical Subject Classification 2000

Primary: 06E05

Secondary: 03C65, 03E35, 03G05

Milestones

Received: 15 January 1980

Published: 1 November 1981