Available in electronic format
Available in print format
Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1936-881X(e) ISSN 0002-9904(p)
     

The structure of topological semigroups—revisited

Author(s): Paul S. Mostert
Journal: Bull. Amer. Math. Soc. 72 (1966), 601-618.
MathSciNet review: 0194546
Retrieve article in: PDF

References | Additional information

References:

1.
L. W. Anderson and R. P. Hunter, Homomorphisms and dimension, Math. Ann. 147 (1962), 248-268. MR 146804
2.
A. H. Clifford, Totally ordered commutative semigroups, Bull. Amer. Math. Soc. 64 (1958), 305-316. MR 100641
3.
A. H. Clifford, Naturally totally ordered commutative semigroups, Amer. J. Math. 76 (1954), 631-646. MR 62118
4.
A. H. Clifford and G. B. Preston, The algebraic theory of semigroups, Vol. I, Math. Surveys, No. 7, Amer. Math. Soc., Providence, 1961. MR 132791
5.
S. Eilenberg, Sur les groupes compacts d'homéomorphes, Fund. Math. 28 (1937), 75-80.
6.
P. E. Conner, On the action of the circle group, Michigan Math. J. 4 (1957), 241-247. MR 96747
7.
B. Gelbaum, G. K. Kalish and J. M. H. Olmstead, On the embedding of topological semigroups and integral domains, Proc. Amer. Math. Soc. 2 (1951), 807-821. MR 43109
8.
A. M. Gleason, Arcs in locally compact groups, Proc. Nat. Acad. Sci. U.S.A. 36 (1950), 663-667. MR 38356
9.
E. Hewitt and K. A. Ross, Abstract harmonic analysis. I, Academic Press, New York, 1963.
10.
K. H. Hofmann and P. S. Mostert, Elements of compact semigroups, Chas. E. Merrill Co., Columbus, 1966. MR 209387
11.
K. H. Hofmann and P. S. Mostert, Irreducible semigroups, Bull. Amer. Math. Soc. 70 (1964), 621-627. MR 174040
12.
K. H. Hofmann and P. S. Mostert, Totally ordered D-class decompositions, Bull. Amer. Math. Soc. 70 (1964), 767-771. MR 167961
13.
A. L. Hudson and P. S. Mostert, A finite dimensional homogeneous clan is a group, Ann. of Math. (2) 78 (1963), 41-46. MR 150237
14.
R. P. Hunter, Note on arcs in semigroups, Fund. Math. 49 (1961), 233-245. MR 123300
15.
R. P. Hunter, On one-dimensional semigroups, Math. Ann. 14 (1962), 383-396. MR 137101
16.
R. P. Hunter, On the structure of homogroups with applications to the theory of compact connected semigroups, Fund. Math. 52 (1963), 69-102. MR 144318
17.
R. P. Hunter and N. Rothman, Characters and cross sections for certain semigroups, Duke Math. J. 29 (1962), 347-366. MR 142110
18.
K. Iwasawa, Finite and compact groups, Sugaku 1 (1948), 30-31. (Japanese)
19.
R. J. Koch, On topological semigroups, Doctoral Dissertation, Tulane University, New Orleans, La., 1953.
20.
R. J. Koch, Arcs in partially ordered spaces, Pacific J. Math. 9 (1959), 723-728. MR 108553
21.
P. S. Mostert and A. L. Shields, On the structure of semigroups on a compact manifold with boundary, Ann. of Math. (2) 65 (1957), 117-143. MR 84103
22.
P. S. Mostert and A. L. Shields, One-parameter semigroups in a semigroup, Trans. Amer. Math. Soc. 96 (1960), 510-517. MR 116074
23.
K. Numakura, On bicompact semigroups with zero, Bull. Yamagata Univ. (Nat. Sci) 4 (1951), 405-412. MR 65568
24.
K. Numakura, On bicompact semigroups, Math. J. Okayama Univ. 1 (1952), 99-108. MR 48467
25.
J. E. L. Peck, An ergodic theorem for a non-commutative semigroup of linear operations, Proc. Amer. Math. Soc. 2 (1951), 414-421. MR 41350
26.
D. Rees, On semi-groups, Proc. Cambridge Philos. Soc. 36 (1940), 387-400. MR 2893
27.
A. D. Wallace, A note on mobs. I, An. Acad. Brasil. Ci. 24 (1952), 329-334. MR 53120
28.
A. D. Wallace, Inverses in euclidean mobs, Math. J. Okayama Univ. 3 (1953), 23-28. MR 62137
29.
A. D. Wallace, On the structure of topological semigroups, Bull. Amer. Math. Soc. 61 (1955), 95-112. MR 67907
30.
A. D. Wallace, The Rees-Suschkewitch structure theorem for compact simple semigroups, Proc. Nat. Acad. Sci. U.S.A. 42 (1956), 430-432. MR 79009


Additional Information:

DOI: 10.1090/S0002-9904-1966-11538-0
PII: S 0002-9904(1966)11538-0


  AMS Website Logo Small Comments: webmaster@ams.org
© Copyright 2009, American Mathematical Society
Privacy Statement
Search the AMSPowered by Google