Constructing ordered groupoids

 Access to full text

 Full (PDF)

1. [1] A. Clifford, A class of d-simple semigroups, Amer. J. Math.75 (1953), 547-556. Zbl0051.01302MR56597
2. [2] P. Dehornoy, Structural monoids associated to equational varieties, Proc. Amer. Math. Soc.117 (1993), 293-304. Zbl0776.08006MR1107919
3. [3] C. Ehresmann, Oeuvres complètes et commentées, (ed A. C. Ehresmann) Supplements to Cahiers de Topologie et Géométrie Différentielle Amiens, 1980-83. 
4. [4] N.D. Gilbert, HNN extensions of inverse semigroups and groupoids, to appear in J. Alg. Zbl1041.20042MR2029025
5. [5] J.-Y. Girard, The geometry of interaction III: accommodating the additives, in Advances in linear logic (eds J.-Y. Girard, Y. Lafont, L. Regnier) Cambridge University Press, 1995. Zbl0828.03027MR1356021
6. [6] J. Kellendonk, M.V. Lawson, Partial actions of groups, Inter. J. of Alg. and Computation14 (2004), 87-114. Zbl1056.20047MR2041539
7. [7] H. Lausch, Cohomology of inverse semigroups, J. Alg.35 (1975), 273-303. Zbl0318.20032MR382521
8. [8] M.V. Lawson, Inverse semigroups: the theory of partial symmetries, World Scientific, 1998. Zbl1079.20505MR1694900
9. [9] M.V. Lawson, Constructing inverse semigroups from category actions, J. of Pure and Applied Alg.137 (1999), 57-101. Zbl0933.20048MR1679075
10. [10] M.V. Lawson, J. Matthews, T. Porter, The homotopy theory of inverse semigroups, Inter. J. of Alg. and Computation12 (2002), 755-790. Zbl1050.55004MR1949696
11. [11] M.V. Lawson, E*-unitary inverse semigroups, in Semigroups, algorithms, automata and languages (eds G. M. S. Gomes, J.-E. Pin, P. V. Silva) World Scientific, 2002, 195-214. Zbl1061.20056MR2023788
12. [12] M.V. Lawson, Left cancellative categories and ordered groupoids, Semigroup Forum68 (2004), 458-470. Zbl1053.18001MR2050902
13. [13] M.V. Lawson, B. Steinberg, Etendues and ordered groupoids, Cahiers de Topologie et Géométrie Différentielle CatégoriquesXLV (2004), 82-108. Zbl1060.18002MR2072933
14. [14] M.V. Lawson, A correspondence between balanced varieties and inverse semigroups, Submitted. 
15. [15] J. Leech, Constructing inverse semigroups from small categories, Semigroup Forum36 (1987), 89-116. Zbl0634.18002MR902733
16. [16] M. Loganathan, Cohomology of inverse semigroups, J. Alg.70 (1981), 375-393. Zbl0465.20063MR623815
17. [17] A.L.T. Paterson, Groupoids, inverse semigroups, and their C*-algebras, Birkhäuser, 1998. 
18. [18] J. Renault, A groupoid approach to C*-algebras, Lecture Notes in Mathematics793, Springer-Verlag, Berlin, 1980. Zbl0433.46049MR584266
19. [19] B. Steinberg, Factorization theorems for morphisms of ordered groupoids and inverse semigroups, Proc. Edinburgh Math. Soc.44 (2001), 549-569. Zbl0990.20043MR1875768