Abstract: Stallings [6] in 1971 introduced the concept of a pregroup. Subsequent work has been dose by Hoare [2], Nesayef [5], Chiswell [1], and many others. Five axioms were originally introduced by Stallings [6], namely P1, P2, P3, P4, and P5. It has been proved in [5] that P3 is a consequence of the other axioms.
Keywords: Archimedean elements, Defined product of elements, Length Functions, Pregroup, Universal Group.
Title: Pregroups with Length Functions
Author: Faisal H. Nesayef
International Journal of Mathematics and Physical Sciences Research
ISSN 2348-5736 (Online)
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