The Termwise Equivalence of the Varieties of l-Group Cones and Cancellative Generalized Hoops

Abstract

We show that the varieties of l-group
cones and of cancellative general­ized hoops are termwise equivalent. We
conclude that the varieties of l-groups and cancellative
generalized hoops are categorically equivalent.
Mathematics Subject
Classification (2000): 06F15, 08C05.

Key words: l-group, cancellative
generalized hoop, termwise equivalence, categorical
equivalence

Quaestiones Mathematicae 27(2004), 39-45.