Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

 
 

 

The structure of topological semigroups


Author: A. D. Wallace
Journal: Bull. Amer. Math. Soc. 61 (1955), 95-112
DOI: https://doi.org/10.1090/S0002-9904-1955-09895-1
MathSciNet review: 0067907
Full-text PDF

References | Additional Information

References [Enhancements On Off] (What's this?)

  • 1. A. H. Clifford, A system arising from a weakened set of group postulates, Ann. of Math. vol. 34 (1933) pp. 865-871. MR 1503137
  • 2. A. H. Clifford, Semigroups admitting relative inverses, Ann. of Math. vol. 42 (1941) pp. 1037-1049. MR 5744
  • 3. A. H. Clifford, Semigroups containing minimal ideals, Amer. J. Math. vol. 70 (1948) pp. 521-526. MR 25476
  • 4. A. H. Clifford, Semigroups without nilpotent ideals, Amer. J. Math. vol. 71 (1949) pp. 834-844. MR 32661
  • 5. A. H. Clifford and D. D. Miller, Semigroups having zeroid elements, Amer. J. Math. vol. 70 (1948) pp. 117-125. MR 23253
  • 6. Haskell Cohen, A cohomological definition of dimension for locally compact Hausdorff spaces, Duke Math. J. vol. 21 (1954) pp. 209-224. MR 66637
  • 7. Robert Ellis, Continuity and homeomorphism groups, Proc. Amer. Math. Soc. vol. 4 (1953) pp. 969-973. MR 60807
  • 8. W. M. Faucett, Topological semigroups and continua, Tulane University Dissertation, 1954.
  • 9. L. Fuchs, On semigroups admitting relative inverses, Publ. Math. Debrecen vol. 1 (1950) pp. 227-231. MR 38948
  • 10. B. Gelbaum, G. K. Kalisch and J. M. H. Olmsted, On the imbedding of topological semigroups and integral domains, Proc. Amer. Math. Soc. vol. 2 (1951) pp. 807-821. MR 43109
  • 11. A. D. Wallace, Struct ideals, Proc. Amer. Math. Soc. (in press). MR 71756
  • 12. J. A. Green, On the structure of semigroups, Ann. of Math. vol. 54 (1951) pp. 163-172. MR 42380
  • 13. Einar Hille, Functional analysis and semi-groups, Amer. Math. Soc. Colloquium Publications, vol. 31, 1948. MR 25077
  • 14. J. W. Keesee, On the homotopy axiom, Ann. of Math. vol. 54 (1951) pp. 247-249. MR 43460
  • 15. R. J. Koch, On topological semigroups, Tulane University Dissertation, 1953.
  • 16. R. J. Koch, Remarks on primitive idempotents in compact semigroups with zero, Bull. Amer. Math. Soc. vol. 5 (1954) pp. 828-833. MR 65569
  • 17. R. J. Koch and A. D. Wallace, Maximal ideals in topological semigroups, Duke Math. J. vol. 21 (1954) pp. 681-685. MR 63381
  • 18. H. B. Mann, On certain systems which are almost groups, Bull. Amer. Math. Soc. vol. 50 (1944) pp. 879-888. MR 11313
  • 19. Deane Montgomery, Continuity in topological groups, Bull. Amer. Math. Soc. vol. 42 (1936) pp. 879-882.
  • 20. Mikaa Moriya, Theorie der Halb-topologischen Gruppen und Körper, Math. J. Okayama Univ. vol. 1 (1952) pp. 109-124. MR 48468
  • 21. K. Numakura, On bicompact semigroups with zero, Bull. Yamagata Univ. (Natural Science) vol. 4 (1951) pp. 405-412. MR 65568
  • 22. K. Numakura, On bicompact semigroups, Math. J. Okayama Univ. vol. 1 (1952) pp. 99-108. MR 48467
  • 23. J. E. L. Peck, An ergodic theorem for a noncommutative semigroup of linear operations, Proc. Amer. Math. Soc. vol. 2 (1951) pp. 414-421. MR 41350
  • 24. D. Rees, On semi-groups, Proc. Cambridge Philos. Soc. vol. 36 (1940) pp. 387-400. MR 2893
  • 25. Hans Samelson, Topology of Lie groups, Bull. Amer. Math. Soc. vol. 58 (1952) pp. 2-37. MR 45129
  • 26. E. H. Spanier, Cohomology theory for general spaces, Ann. of Math. vol. 49 (1948) pp. 407-427. MR 24621
  • 27. A. Suschkewitsch, Über die endlichen Gruppen, Math. Ann. vol. 99 (1928) pp. 30-50. MR 1512437
  • 28. A. D. Wallace, Outline for algebraic topology, Tulane University, 1949 and 1952.
  • 29. A. D. Wallace, A theorem on endpoints, Anais Acad. Brasil. Ci. vol. 22 (1950) pp. 29-33. MR 38064
  • 30. A. D. Wallace, The map excision theorem, Duke Math. J. vol. 19 (1952) pp. 177-182. MR 46646
  • 31. A. D. Wallace, A note on mobs I, Anais Acad. Brasil. Ci. vol. 24 (1952) pp. 329-334. MR 53120
  • 32. A. D. Wallace, A note on mobs II, ibid. vol. 25 (1953) pp. 335-336. MR 61612
  • 33. A. D. Wallace, Indecomposable semi-groups, Math. J. Okayama Univ. vol. 3 (1953) pp. 1-3.
  • 34. A. D. Wallace, Inverses in Euclidean mobs, ibid. vol. 3 (1953) pp. 23-28. MR 62137
  • 35. A. D. Wallace, Cohomology, dimension and mobs, Summa Brasiliensis Mathematicae vol. 3 (1953) pp. 43-54. MR 58206
  • 36. J. G. Wendel, Haar measure and the semigroup of measures on a compact group, Proc. Amer. Math. Soc. vol. 5 (1954) pp. 923-929. MR 67904
  • 37. G. T. Whyburn, Analytic topology, Amer. Math. Soc. Colloquium Publications, vol. 28. MR 7095
  • 38. W. M. Faucett, Compact semigroups irreducibly connected between two idempotents, Proc. Amer. Math. Soc. (in press). MR 71712
  • 39. W. M. Faucett, Topological semigroups and continua with cutpoints, ibid. (in press).
  • 40. W. M. Faucett and R. J. Koch, Complements of maximal ideals in semigroups (to appear).
  • 41. E. J. McShane, Images of sets satisfying the condition of Baire, Ann. of Math. vol. 51 (1950) pp. 380-386. MR 39241
  • 42. B. J. Pettis, On continuity and openness of homomorphisms in topological groups, ibid. pp. 293-308. MR 38358
  • 43. B. J. Pettis, Uniform Cauchy points and points of equicontinuity, Amer. J. Math. vol. 73 (1951) pp. 602-614. MR 43172
  • 44. B. J. Pettis, Remarks on a theorem of E. J. McShane, Proc. Amer. Math. Soc. vol. 2 (1951) pp. 166-171. MR 48012
  • 45. A. D. Wallace, The position of C-sets in semigroups, ibid. (in press).
  • 46. T. Rado and P. V. Reichelderfer, Continuous transformations in analysis, Springer (in press).


Additional Information

DOI: https://doi.org/10.1090/S0002-9904-1955-09895-1

American Mathematical Society