The idempotents in a periodic semigroup

International Journal of Algebra and Computation

Volumn 6, Issue 5, 1996, Pages 511-540

  Pastijn, Francis ^a  

^a MARQUETTE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030511473     PISSN: 02181967     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218196796000283     Document Type: Article

References (47)

1. K. Auinger, On the lattice of existence varieties of locally inverse semigroups, Canad. Math. Bull. 37 1 (1994), 13-20.
2. K. Auinger, Complete congruences on lattices of (existence) varieties, preprint.
3. K. Auinger and T. E. Hall, The congruence lattice of an eventually regular semigroup, preprint.
4. K. Auinger and T. E. Hall, Congruence relations on the lattice of pseudovarieties of semigroups, preprint.
5. C. Benzaken and H. C. Mayr, Notion de demi-bande: demi-bandes de type deux, Semigroup Forum 10 (1975), 115-128.
6. R. Broeksteeg, The set of idempotents of a completely regular semigroup as a binary algebra, Bull. Austral. Math. Soc. 50 (1994), 91-107.
7. R. Broeksteeg, A concept of variety for regular biordered sets, Semigroup Forum 49 (1994), 335-348.
8. R. Broeksteeg, The structure of solid binary algebras, preprint.
9. A. H. Clifford, The fundamental representation of a completely regular semigroup, Semigroup Forum 12 (1976), 341-346.
10. A. H. Clifford and G. B. Preston, The algebraic theory of semigroups, I Mathematical Surveys 7, Amer. Math Soc. (1961); II Mathematical Surveys 7, Amer. Math. Soc. (1967).
11. A. H. Clifford and G. B. Preston, The algebraic theory of semigroups, I Mathematical Surveys 7, Amer. Math Soc. (1961); II Mathematical Surveys 7, Amer. Math. Soc. (1967).
12. A. de Luca and S. Varricchio, On non counting regular classes, in: Proc. of the 17 ICALP Int. Symp. (M. S. Paterson, ed.), Lecture Notes in Comp. Sc. 443, Springer Verlag, New York, 1990, 74-87.
13. D. Easdown, Biordered sets of eventually regular semigroups, Proc. London Math. Soc. 49 3 (1984), 483-503.
14. D. Easdown, Biordered sets come from semigroups, J. Algebra 96 (1985), 581-591.
15. P. M. Edwards, Eventually regular semigroups, Bull. Austral. Math. Soc. 28 (1983), 23-38.
16. D. G. Fitz-Gerald, On inverses of products of idempotents in regular semigroups, J. Austral. Math Soc. 13 (1972), 335-337.
17. J. L. Galbiati and M. L. Veronesi, On quasi completely regular semigroups, Semigroup Forum 29 (1984), 271-275.
18. 3 = x, Math. Proc. Camb. Phil. Soc 84 (1978), 11-19.
19. J. A. Gerhard, Free completely regular semigroups I, J. Algebra 82 (1983), 135-142; II, J. Algebra 82 (1983), 143-156.
20. J. A. Gerhard, Free completely regular semigroups I, J. Algebra 82 (1983), 135-142; II, J. Algebra 82 (1983), 143-156.
21. τ = x, Proc. Cambridge Phil. Soc. 48 (1952), 35-40.
22. m+n with m ≥ 4 or m ≥ 3, n = 1, Int. J. Algebra Comput. 3 (1993), 125-140.
23. T. E. Hall, On regular semigroups, J. Algebra 24 (1973), 1-24.
24. P. R. Jones, On the lattice of completely regular semigroup varieties, J. Austral. Math. Soc. (Series A) 35 (1983), 227-235.
25. J. Kaďourek and L. Polák, On the word problem for free completely regular semigroups, Semigroup forum 34 (1986), 127-138.
26. τ ≃ x, Simon Stevin 64 (1990), 3-19.
27. a+b with a ≥ 6, J. Algebra Comput. 1 (1991), 1-32.
28. R. N. McKenzie, G. F. McNulty and W. F. Taylor, Algebras, lattices, varieties, I Wadsworth & Brooks/Cole, Monterey, California, 1987.
29. K. S. S. Nambooripad, Structure of regular semigroups, I Memoirs of the Amer. Math. Soc. 22 Amer. Math. Soc. 1979.
30. K. S. S. Nambooripad, Pseudosemilattices and biordered sets I, Simon Stevin 55 (1981), 103-110.
31. K. S. S. Nambooripad and F. J. Pastijn, Regular involution semigroups, in: Semigroups, Structure and Universal Algebraic Problems (G. Pollák, Št. Schwarz, O. Steinfeld, eds.), Colloquia Math. Soc. János Bolyai 39 North-Holland, New York, 1985; 199-249.
32. F. Pastijn, The biorder on the partial groupoid of idempotents of a semigroup, J. Algebra 65 (1980), 147-187.
33. F. Pastijn and M. Petrich, Congruences on regular semigroups, Trans. Amer. Math. Soc. 295 (1986), 607-633.
34. F. Pastijn and M. Petrich, The congruence lattice of a regular semigroup, J. Pure Appl. Algebra 53 (1988), 93-123.
35. F. J. Pastijn and P. G. Trotter, Lattices of completely regular semigroup varieties, Pacific J. Math. 119 (1985), 191-214.
36. F. J. Pastijn and P. G. Trotter, Residual finiteness in completely regular semigroup varieties, Semigroup Forum 37 (1988), 127-147.
37. F. Pastijn and X. Yan, Varieties of semigroups and varieties of completely regular semigroups closed for certain extensions, J. Algebra 163 (1994), 777-794.
38. M. Petrich and N. R. Reilly, Operators related to idempotent generated and monoid completely regular semigroups, J. Austral. math. Soc. (Series A) 49 (1990), 1-23.
39. 3 = x, in: Colloquia Math. Soc. János Bolyai 43 Szeged, 1983, 345-363.
40. L. Polák, On varieties of completely regular semigroups, III, Semigroup Forum 37 (1988), 1-30.
41. M. P. Schützenberger, Sur le produit de concaténation non ambigu, Semigroup Forum 13 (1976), 47-75.
42. L. N. Shevrin, K teoriǐ epigrupp I, Mat. Sb. 185, 8 (1994), 129-160; II, Mat. Sb. 185 9 (1994), 153-176.
43. L. N. Shevrin, K teoriǐ epigrupp I, Mat. Sb. 185, 8 (1994), 129-160; II, Mat. Sb. 185 9 (1994), 153-176.
44. P. G. Trotter, Normal partitions of idempotents of regular semigroups, J. Austral. Math. Soc. (Series A) 26 (1978), 110-114.
45. P. G. Trotter, Free completely regular semigroups, Glasgow Math. J. 25 (1984), 241-254.
46. P. G. Trotter, On a problem of Pastijn and Petrich, Semigroup Forum 34 (1986), 249-252.
47. M. R. Vaughan-Lee, Uncountably many varieties of groups, Bull. London Math. Soc. 2 (1970), 280-286.