On the semigroup of binary relations

References (46)

1. A. H. Clifford and G. B. Preston, The Algebraic Theory-of Semigroups, Amer. Math. Soc. Surveys, vols. I and II, Providence, 1961 and 1967.
2. G. Birkhoff, Lattice Theory, A.M.S. Colloquium Publ., vol. 25, 2nd ed., Providence, 1948.
3. J. A. Green, On the structure of semigroups, Ann. of Math. 54 (1951), 163-172.
4. B. Harris and L. Schoenfeld, The number of idempotent elements in symmetric semigroups, J. Combinatorial Theory 3 (1967), 122-135.
5. A. I. Malcev, Symmetric groupoids, Mat. Sbornik 31 (1952), 136-151.
6. S. J. Montague and R. J. Plemmons, Maximal subgroups of the semigroup of re- lations, J. of Algebra 13 (1969), 575-588.
7. B. M. Schein, Semigroups of transformations, presented at International Conference on Semigroups, Bratislava, Czechoslovakia, June 1968.
8. S. Schwarz, The semigroup of binary relations on a finite set, presented at Inter- national Conference on Semigroups, Bratislava, Czechoslovakia, June 1968 (to appear in Czech. J. Math.)
9. M. Tainter, A characterization of idempotents in semigroups, J. Combinatorial Theory 5 (1968), 370-373.
10. Jaw-Ching Yang, A theorem on the semigroup of binary relations, Proc. Amer. Math. Soc. 22 (1969), 134-135.
11. K. A. Zaretskii, Regular elements in the semigroup of binary relations, Uspehi Mat. Nauk. (17) 3 (1962), 105-108.
12. The semigroup of binary relations, Mat. Sbornik 61 (1963), 291-305.
13. John D. Arrison and Michael Rich, On nearly commutative degree one algebras . . . . 533
14. Bruce Alan Barnes, Algebras with minimal left ideals which are Hilbert spaces . . . . . 537
15. Robert F. Brown, An elementary proof of the uniqueness of the fixed point index . . . . 549
16. Ronn L. Carpenter, Principal ideals in F-algebras . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 559
17. Chen Chung Chang and Yiannis (John) Nicolas Moschovakis, The Suslin-Kleene theorem for V κ with cofinality (κ) = ω . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 565
18. Theodore Seio Chihara, The derived set of the spectrum of a distribution function. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 571
19. Tae Geun Cho, On the Choquet boundary for a nonclosed subspace of C(S) . . . . . . . 575
20. Richard Brian Darst, The Lebesgue decomposition, Radon-Nikodym derivative, conditional expectation, and martingale convergence for lattices of sets . . . . . . . 581
21. David E. Fields, Dimension theory in power series rings . . . . . . . . . . . . . . . . . . . . . . . . . 601
22. Michael Lawrence Fredman, Congruence formulas obtained by counting irreducibles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 613
23. John Eric Gilbert, On the ideal structure of some algebras of analytic functions . . . . . 625
24. G. Goss and Giovanni Viglino, Some topological properties weaker than compactness . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 635
25. George Grätzer and J. Sichler, On the endomorphism semigroup (and category) of bounded lattices . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 639
26. R. C. Lacher, Cell-like mappings. II . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 649
27. Shiva Narain Lal, On a theorem of M. Izumi and S. Izumi . . . . . . . . . . . . . . . . . . . . . . . . . 661
28. Howard Barrow Lambert, Differential mappings on a vector space . . . . . . . . . . . . . . . . 669
29. Richard G. Levin and Takayuki Tamura, Notes on commutative power joined semigroups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 673
30. Robert Edward Lewand and Kevin Mor McCrimmon, Macdonald's theorem for quadratic Jordan algebras . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 681
31. J. A. Marti, On some types of completeness in topological vector spaces . . . . . . . . . . . 707
32. Walter J. Meyer, Characterization of the Steiner point . . . . . . . . . . . . . . . . . . . . . . . . . . . 717
33. Saad H. Mohamed, Rings whose homomorphic images are q-rings . . . . . . . . . . . . . . . . 727
34. Thomas V. O'Brien and William Lawrence Reddy, Each compact orientable surface of positive genus admits an expansive homeomorphism . . . . . . . . . . . . . . . . . . . . . . 737
35. Robert James Plemmons and M. T. West, On the semigroup of binary relations . . . . . 743
36. Calvin R. Putnam, Unbounded inverses of hyponormal operators . . . . . . . . . . . . . . . . . 755
37. William T. Reid, Some remarks on special disconjugacy criteria for differential systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 763
38. C. Ambrose Rogers, The convex generation of convex Borel sets in euclidean space . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 773
39. S. Saran, A general theorem for bilinear generating functions . . . . . . . . . . . . . . . . . . . . . 783
40. S. W. Smith, Cone relationships of biorthogonal systems . . . . . . . . . . . . . . . . . . . . . . . . . 787
41. Wolmer Vasconcelos, On commutative endomorphism rings . . . . . . . . . . . . . . . . . . . . . . 795
42. Vernon Emil Zander, Products of finitely additive set functions from Orlicz spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 799
43. G. Sankaranarayanan and C. Suyambulingom, Correction to: "Some renewal theorems concerning a sequence of correlated random variables" . . . . . . . . . . . . 805
44. Joseph Zaks, Correction to: "Trivially extending decompositions of E n " . . . . . . . . . . . 805
45. Dong Hoon Lee, Correction to: "The adjoint group of Lie groups" . . . . . . . . . . . . . . . . 805
46. James Edward Ward, Correction to: "Two-groups and Jordan algebras" . . . . . . . . . . . 806