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math.GR2017
Gcd-monoids arising from homotopy groupoids
Friedrich Wehrung
The interval monoid (P) of a poset P is defined by generators [x, y], where x y in P , and relations [x, x] = 1, [x, z] = [x, y] [y, z] for x y z. It…
math.GR2016
Varieties of Boolean inverse semigroups
Friedrich Wehrung
In an earlier work, the author observed that Boolean inverse semi-groups, with semigroup homomorphisms preserving finite orthogonal joins, form a congruence-permutable variety of a…
math.GR2016
Multifraction reduction III: The case of interval monoids
Patrick Dehornoy, Friedrich Wehrung
We investigate gcd-monoids, which are cancellative monoids in which any two elements admit a left and a right gcd, and the associated reduction of multifractions (arXiv:1606.08991…