Journal Name:
- European Journal of Pure and Applied Mathematics
Publication Year:
- 2012
| Author Name |
|---|
- 4
- English
REFERENCES
[1] S. Armstrong, The structure of type A semigroups, Semigroup Forum 29 (1984) 319–
336.
[2] G. Birkhoff and M. K. Bennett, Felix Klein and his “Erlanger Programm”, in: W. Aspray
and P. Kitcher (Eds.), History and Philosophy of ModernMathematics, Minnesota Studies
in the Philosophy of Science, vol. XI, University of Minnesota Press, Minneapolis, 1988,
pp. 145–176.
[3] H. Brandt, Über eine Verallgemeinerung des Gruppenbegriffes, Mathematische Annalen
96 (1926) 360–366.
[4] R. Brown, From groups to groupoids: a brief survey, Bulletin of the London Mathematical
Society 19 (1987) 113–134.
[5] R. Brown, Groupoids and crossed objects in algebraic topology, Homology, Homotopy
and Applications 1(1) (1999) 1–78.
[6] R. Brown, Three themes in the work of Charles Ehresmann: local-to-global; groupoids;
higher dimensions, in: Jan Kubarski, Jean Pradines, Tomasz Rybicki and Robert Wolak
(Eds.), Geometry and Topology of Manifolds, Banach Center Publications 76, Polish
Academy of Sciences, Warsaw, 2007, pp. 51–63.
[7] Leo Corry, Modern Algebra and the Rise of Mathematical Structures, 2nd revised ed.,
Birkhäuser, 2004.
[8] R. Croisot, Une interprétation des relations d’équivalence dans un ensemble, Comptes
Rendus de l’Académie des Sciences de Paris 226 (1948) 616–617.
[9] Ch. Ehresmann, Gattungen von lokalen Strukturen, Jahresbericht der Deutschen
Mathematiker-Vereinigung 60 (1957) 49–77.
[10] Ch. Ehresmann, Catégories inductives et pseudogroupes, Annales de l’Institut Fourier,
Grenoble 10 (1960) 307–336.
[11] Ch. Ehresmann, Oeuvres complètes et commentèes (A. C. Ehresmann, ed.), supplements
to Cahiers de Topologie et Géométrie Différentielle, Amiens, 1980–83.
[12] S. Eilenberg and S. Mac Lane, The general theory of natural equivalences, Transactions
of the American Mathematical Society 58 (1945) 231–294.
[13] J. Fountain, A class of right PP monoids, Quarterly Journal of Mathematics, Oxford (2)
28 (1977) 285–300.
[14] J. Fountain, Adequate semigroups, Proceedings of the Edinburgh Mathematical Society
(2) 22 (1979) 113–125.
[15] V. Gould, (Weakly) left E-ample semigroups (a.k.a. Notes on restriction semigroups and
related structures), http://www-users.york.a
.uk/~varg1/restri
tion.pdf
[16] V. Gould and C. Hollings, Partial actions of inverse and weakly left E-ample semigroups,
Journal of the Australian Mathematical Society 86(3) (2009) 355–377.
[17] V. Gould and C. Hollings, Restriction semigroups and inductive constellations, Communications
in Algebra 38(1) (2010) 261–287.
[18] M. Haskell, A comparative review of recent researches in geometry, Bulletin of the New
York Mathematical Society 2 (1892–1893) 215–249.
[19] T. Hawkins, The Erlanger Programm of Felix Klein: reflections on its place in the history
of mathematics, Historia Mathematica 11 (1984) 442–470.
[20] C. Hollings, From right PP monoids to restriction semigroups: a survey, European Journal
of Pure and Applied Mathematics 2(1) (2009) 21–37.
[21] C. Hollings, The early development of the algebraic theory of semigroups, Archive for
the History of Exact Sciences 63(5) (2009) 497–536.
[22] C. Hollings, Extending the Ehresmann–Schein–Nambooripad Theorem, Semigroup Forum
80(3) (2010) 453–476.
[23] J. M. Howie, Fundamentals of Semigroup Theory, LMS monographs, no. 12, Clarendon
Press, Oxford, 1995.
[24] N. Jacobson, Basic Algebra, Volume II, W. H. Freeman and Co., San Francisco, 1980.
[25] F. Klein, Vergleichende Betrachtungen über neuere geometrische Forschungen, Mathematische
Annalen 43 (1893) 63–100.
[26] M. V. Lawson, The Structure Theory of Abundant Semigroups, DPhil thesis, University
of York, 1985.
[27] M. V. Lawson, The geometric theory of inverse semigroups I: E-unitary inverse semigroups,
Journal of Pure and Applied Algebra 67 (1990) 151–177.
[28] M. V. Lawson, Semigroups and ordered categories I: the reduced case, Journal of Algebra
141 (1991) 422–462.
[29] M. V. Lawson, Inverse Semigroups: The Theory of Partial Symmetries, World Scientific,
1998.
[30] M. V. Lawson, S. W. Margolis and B. Steinberg, Expansions of inverse semigroups, Journal
of the Australian Mathematics Society 80 (2006) 205–228.
[31] S. Lie, Die Grundlagen für die Theorie der unendlichen Kontinuierlichen Transformationsgruppen
I, Leipzig, Berichte 3 (1891) 316–352; II, ibid. 353–393.
[32] D. B. McAlister, ∨-prehomomorphisms on inverse semigroups, Pacific Journal of Mathematics
67 (1976) 215–231.
[33] J. Meakin, On the structure of inverse semigroups, Semigroup Forum 12 (1976) 6–14.
[34] K. S. S. Nambooripad, Structure of Regular Semigroups, PhD thesis, University of Kerala,
1973.
[35] K. S. S. Nambooripad, Structure of regular semigroups, I. Fundamental regular semigroups,
Semigroup Forum 9 (1975) 354–363; II. The general case, ibid. 364–371.
[36] K. S. S. Nambooripad, Structure of regular semigroups I,Memoirs of the AmericanMathematical
Society 22 (1979) no. 224.
[37] K. S. S. Nambooripad and R. Veeramony, Subdirect products of regular semigroups,
Semigroup Forum 27 (1983) 265–307.
[38] G. B. Preston, Some Problems in the Theory of Ideals, DPhil thesis, University of Oxford,
1953.
[39] G. B. Preston, Inverse semi-groups, Journal of the London Mathematical Society 29
(1954) 396–403.
[40] G. B. Preston, Inverse semi-groups with minimal right ideals, Journal of the London
Mathematical Society 29 (1954) 404–411.
[41] G. B. Preston, Representations of inverse semi-groups, Journal of the London Mathematical
Society 29 (1954) 411–419.
[42] G. B. Preston, Personal reminiscences of the early history of semigroups, in: T. E. Hall,
P. R. Jones and J. C. Meakin (Eds.), Monash Conference on Semigroup Theory, Melbourne
1990, World Scientific, River Edge, NJ, 1991, pp. 16–30.
[43] D. Rees, On the group of a set of partial transformations, Journal of the London Mathematical
Society 22 (1947) 281–284.
[44] B.M. Schein, On the theory of generalised heaps and generalised groups, in: V. V.Wagner
(Ed.), Theory of Semigroups and its Applications, vol. 1, University of Saratov, Saratov,
1965, pp. 286–324 (in Russian); expanded English translation: [45].
[45] B. M. Schein, On the theory of inverse semigroups and generalised grouds, American
Mathematical Society Translations (2) 113 (1979) 89–122; expanded English translation
of [44].
[46] B.M. Schein, Prehistory of the theory of inverse semigroups, in: Robert J. Koch and John
A. Hildebrandt (Eds.), Proceedings of the 1986 LSU Semigroup Conference (Kochfest
60), Louisiana State University, Baton Rouge, LA, 1986, pp. 72–76.
[47] B. M. Schein, Book Review: ‘Inverse Semigroups: The Theory of Partial Symmetries’ by
Mark V. Lawson, Semigroup Forum 65 (2002) 149–158.
[48] J. A. Schouten and J. Haantjes, On the theory of the geometric object, Proceedings of
the London Mathematical Society 42 (1937) 356–376.
[49] O. Veblen and J. H. C. Whitehead, The Foundations of Differential Geometry, Cambridge
Tract No. 24, Cambridge University Press, Cambridge, 1932.
[50] V. V. Wagner, On the theory of partial transformations, Doklady Akademii Nauk SSSR 84
(1952) 653–656 (in Russian).
[51] V. V. Wagner, Generalised groups, Doklady Akademii Nauk SSSR 84 (1952) 1119–1122
(in Russian).
[52] V. V. Wagner, Theory of generalised heaps and generalised groups, Matematicheskii
sbornik (N.S.) 32(74) (1953) 545–632 (in Russian).
[53] H. Wussing, Die Genesis des abstrakten Gruppenbegriffes, Deutscher Verlag der Wissenschaften,
Berlin, 1969; English translation: MIT Press, 1984.