Constructing ordered groupoids
Lawson, Mark V.
Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 46 (2005), p. 123-138 / Harvested from Numdam
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Publié le : 2005-01-01
@article{CTGDC_2005__46_2_123_0,
     author = {Lawson, Mark V.},
     title = {Constructing ordered groupoids},
     journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques},
     volume = {46},
     year = {2005},
     pages = {123-138},
     mrnumber = {2153893},
     zbl = {02235219},
     language = {en},
     url = {http://dml.mathdoc.fr/item/CTGDC_2005__46_2_123_0}
}

Lawson, Mark V. Constructing ordered groupoids. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 46 (2005) pp. 123-138. http://gdmltest.u-ga.fr/item/CTGDC_2005__46_2_123_0/

[1] A. Clifford, A class of d-simple semigroups, Amer. J. Math. 75 (1953), 547-556. | MR 56597 | Zbl 0051.01302

[2] P. Dehornoy, Structural monoids associated to equational varieties, Proc. Amer. Math. Soc. 117 (1993), 293-304. | MR 1107919 | Zbl 0776.08006

[3] C. Ehresmann, Oeuvres complètes et commentées, (ed A. C. Ehresmann) Supplements to Cahiers de Topologie et Géométrie Différentielle Amiens, 1980-83.

[4] N.D. Gilbert, HNN extensions of inverse semigroups and groupoids, to appear in J. Alg. | MR 2029025 | Zbl 1041.20042

[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. | MR 1356021 | Zbl 0828.03027

[6] J. Kellendonk, M.V. Lawson, Partial actions of groups, Inter. J. of Alg. and Computation 14 (2004), 87-114. | MR 2041539 | Zbl 1056.20047

[7] H. Lausch, Cohomology of inverse semigroups, J. Alg. 35 (1975), 273-303. | MR 382521 | Zbl 0318.20032

[8] M.V. Lawson, Inverse semigroups: the theory of partial symmetries, World Scientific, 1998. | MR 1694900 | Zbl 1079.20505

[9] M.V. Lawson, Constructing inverse semigroups from category actions, J. of Pure and Applied Alg. 137 (1999), 57-101. | MR 1679075 | Zbl 0933.20048

[10] M.V. Lawson, J. Matthews, T. Porter, The homotopy theory of inverse semigroups, Inter. J. of Alg. and Computation 12 (2002), 755-790. | MR 1949696 | Zbl 1050.55004

[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. | MR 2023788 | Zbl 1061.20056

[12] M.V. Lawson, Left cancellative categories and ordered groupoids, Semigroup Forum 68 (2004), 458-470. | MR 2050902 | Zbl 1053.18001

[13] M.V. Lawson, B. Steinberg, Etendues and ordered groupoids, Cahiers de Topologie et Géométrie Différentielle Catégoriques XLV (2004), 82-108. | Numdam | MR 2072933 | Zbl 1060.18002

[14] M.V. Lawson, A correspondence between balanced varieties and inverse semigroups, Submitted.

[15] J. Leech, Constructing inverse semigroups from small categories, Semigroup Forum 36 (1987), 89-116. | MR 902733 | Zbl 0634.18002

[16] M. Loganathan, Cohomology of inverse semigroups, J. Alg. 70 (1981), 375-393. | MR 623815 | Zbl 0465.20063

[17] A.L.T. Paterson, Groupoids, inverse semigroups, and their C*-algebras, Birkhäuser, 1998.

[18] J. Renault, A groupoid approach to C*-algebras, Lecture Notes in Mathematics 793, Springer-Verlag, Berlin, 1980. | MR 584266 | Zbl 0433.46049

[19] B. Steinberg, Factorization theorems for morphisms of ordered groupoids and inverse semigroups, Proc. Edinburgh Math. Soc. 44 (2001), 549-569. | MR 1875768 | Zbl 0990.20043