Generalization of Lentin’s theory of principal solutions of word equations in free semigroups to free product of copies of positive reals under addition

Mohan S. Putcha

Vol. 83 (1979), No. 1, 253–268

DOI: 10.2140/pjm.1979.83.253

Abstract

Word equations in free semigroups have been studied by many authors. However, word equations in geometrically arising semigroups lead to word equations in free product of copies of positive reals under addition (see “Word equations in some geometric semigroups” by Putcha). In this paper we generalize Lentin’s theory of word equations in free semigroups to free product of copies of positive reals under addition.

Mathematical Subject Classification 2000

Primary: 20M05

Milestones

Received: 3 February 1978

Revised: 1 September 1978

Published: 1 July 1979