# On subgroups of the Lambek pregroup

## Michael Barr

A pregroup is a partially ordered monoid in which every element has a left and a right adjoint. The main result is that for some well-behaved subgroups of the group of diffeomorphisms of the real numbers, the set of all endofunctions of the integers that are asymptotic at $\pm\infty$ to (the restriction to the integers of) a function in the subgroup is a pregroup.

Keywords: subpregroups of the Lambek pregroup

2000 MSC: 91F20, 18B35

Theory and Applications of Categories, Vol. 12, 2004, No. 8, pp 262-269.

http://www.tac.mta.ca/tac/volumes/12/8/12-08.dvi
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http://www.tac.mta.ca/tac/volumes/12/8/12-08.pdf
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