On the foundations of inverse monoids and inverse algebras

Proceedings of the Edinburgh Mathematical Society

Volumn 41, Issue 1, 1998, Pages 1-21

  Leech, Jonathan ^a  

^a WESTMONT COLLEGE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040315475     PISSN: 00130915     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0013091500019398     Document Type: Article

References (17)

1. J. ADEMEK, H. HERRLICH and G. E. STRECKER, Abstract and Concrete Categories (Wiley Interscience, New York, 1990).
2. M. BARR and C. WELLS, Toposes, Triples and Theories (Springer-Verlag, New York, 1985).
3. A. H. CLIFFORD, A class of d-simple semigroups, Amer. J. Math. 15 (1953), 541-556.
4. H. GAIFMAN, Infinite Boolean polynomials, I, Fund. Math. 54 (1964), 229-250.
5. P. A. GRILLET, Semigroups, An Introduction to the Structure Theory (Marcel Dekker, New York, 1995).
6. A. W. HALES, On the non-existence of free complete Boolean algebras, Fund. Math. 54 (1964), 45-66.
7. J. M. HOWIE, An Introduction to Semigroup Theory (Academic Press, London, 1976).
8. P. T. JOHNSTONE, Stone Spaces (Cambridge University Press, Cambridge, 1982).
9. B. P. KOCHIN, The structure of inverse ideal-simple ω-semigroups, Vestnik Leningrad. Univ. 23 (1968), 41-50 (in Russian).
10. M. V. LAWSON, The geometric theory of inverse semigroups, I, J. Pure Appl. Algebra 67 (1990), 151-177.
11. J. E. LEECH, The D-category of a monoid, Semigroup Forum 34 (1986), 89-116.
12. J. E. LEECH, Constructing inverse monoids from small categories, Semigroup Forum 36 (1987), 89-116.
13. J. E. LEECH, Inverse monoids with a natural semilattice ordering, Proc. London Math. Soc. (3) 70 (1995), 146-182.
14. W. D. MUNN, Regular ω-semigroups, Glasgow Math. J. 9 (1968), 44-66.
15. M. PETRICH, Inverse Semigroups (John Wiley and Sons, New York, 1984).
16. L. S. PONTRYAGIN, Topological Groups, Second Edition (Gordon and Breach, New York, 1966).
17. B. M. SCHEIN, Completions, translational hulls and ideal extensions of inverse semigroups, Czechoslovak Math. J. 23 (1973), 575-610.