Proper weakly left ample semigroups

International Journal of Algebra and Computation

Volumn 9, Issue 6, 1999, Pages 721-739

  Gomes, Gracinda M S ^a,b   Gould, Victoria ^c  

^a UNIVERSITY OF LISBON   (Portugal)

^b UNIVERSITY OF LISBON   (Portugal)

^c UNIVERSITY OF YORK   (United Kingdom)

Author keywords

E unitary; Proper; Semilattice; Unipotent monoid; Weakly left ample

Indexed keywords

EID: 0347024563     PISSN: 02181967     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218196799000412     Document Type: Article

References (17)

1. J. Almeida, J.-E. Pin and P. Weil, Semigroups whose idempotents form a subsemigroup, Math. Proc. Cambridge Phil. Soc. 111 (1992), 241-253.
2. B. Billhardt, Extensions of semilattices by left type-A semigroups, Glasgow Math. J. 39 (1997), 7-16.
3. J. Fountain, A class of right PP monoids, Quart. J. Math. Oxford 28 (2) (1977), 285-330.
4. J. Fountain, E-unitary dense covers of E-dense monoids, Bull. London Math. Soc. 22 (1990), 353-358.
5. J. Fountain and G. M. S. Gomes, Left proper E-dense monoids, J. Pure Appl. Algebra 80 (1992), 1-27.
6. J. Fountain and G. M. S. Gomes, Proper left type-A monoids revisited, Glasgow Math. J. 35 (1993), 293-306.
7. J. Fountain and G. M. S. Gomes, Proper left type-A covers, Portugaliae Math. 51 (1994), 305-319.
8. J. Fountain, G. M. S. Gomes and V. A. R. Gould, A Munn type representation for class of E-semiadequate semigroups, J. Algebra 218 (1999), 693-714.
9. J. Fountain, G. M. S. Gomes and V. A. R. Gould, Enlargements, semiabundancy and unipotent monoids, Conxm. Algebra 27(2) (1999), 595-614.
10. G. M. S. Gomes and V. A. R. Gould, Graph expansions of unipotent monoids, Comm. Algebra (to appear).
11. S. W. Margolis and J.-E. Pin, Inverse semigroups and extensions of groups by semilattices, J. Algebra 110 (1987), 277-297.
12. D. B. McAlister, Groups, semilattices and inverse semigroups, Trans. Amer. Math. Soc. 192 (1974), 227-244.
13. D. B. McAlister, Groups, semilattices and inverse semigroups II, Trans. Amer. Math. Soc. 192 (1974), 351-370.
14. W. D. Munn, A class of irreducible matrix representations of an arbitrary inverse semigroup, Proc. Glasgow Math. Soc. 5 (1961), 41-48.
15. L. O'Carroll, Embedding theorems for proper inverse semigroups, J. Algebra 42 (1976), 26-40.
16. A. Palmer, Proper right type-A semigroups, M. Phil. Thesis, York (1982).
17. B. Tilson, Categories as algebra: An essential ingredient in the theory of monoids, J. Pure Appl. Algebra 48 (1987), 83-198.