Abstract
Left distributive left quasigroups are binary algebras with unique left division satisfying the left distributive identity x(yz) ≈ (xy)(xz). In other words, binary algebras where all left translations are automorphisms. We provide a description and examples of nonidempotent subdirectly irreducible algebras in this class.
ACKNOWLEDGMENTS
While working on this article, the author was supported by the Eduard \v Cech Center for Algebra and Geometry. A partial support by the grant GA\v CR 201/05/0002 is also acknowledged.
Notes
Communicated by A. Yu. Olshanskii.