| Title:
|
Representations of Topological Semigroups (English) |
| Author:
|
Brown, Dennison R. |
| Author:
|
Friedberg, Michael |
| Language:
|
English |
| Journal:
|
Matematický časopis |
| ISSN:
|
0025-5173 |
| Volume:
|
20 |
| Issue:
|
4 |
| Year:
|
1970 |
| Pages:
|
304-314 |
| . |
| Category:
|
math |
| . |
| MSC:
|
06C05 |
| MSC:
|
22A25 |
| MSC:
|
22A26 |
| MSC:
|
43A07 |
| MSC:
|
43A65 |
| idZBL:
|
Zbl 0232.22010 |
| idMR:
|
MR0302814 |
| . |
| Date available:
|
2009-09-25T08:10:46Z |
| Last updated:
|
2012-07-31 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126551 |
| . |
| Reference:
|
[1] Anderson L. W.: On the Breadth and Codimension of a Topological Lattice.Pac. J. Math. 9 (1959), 327-333. MR 0105465 |
| Reference:
|
[2] Anderson L. W.: The Existence of Continuous Lattice Homomorphisms.London J. Math. 37 (1962), 60-62. Zbl 0104.25902, MR 0133272 |
| Reference:
|
[3] Austin C. W.: Duality Theorems for Some Comutative Semigroups.Trans. Amer. Math. Soc. 409 (1963), 245-256. MR 0153776 |
| Reference:
|
[4] Baker J. W., Rothman N. J.: Separating Points by Semicharacters.Proc. Amer. Math. Soc. 21 (1969), 235-239. Zbl 0186.20201, MR 0236301 |
| Reference:
|
[5] Baumslag G.: Some Aspects of Groups with Unique Roots.Acta Math. 104 (1960), 217 - 303. Zbl 0178.34901, MR 0122859 |
| Reference:
|
[6] Baumslag G.: Roots and Wreath Products.Proc. Cambridge Phil. Soc. 56, part 2 (1960), 109-117. Zbl 0093.24602, MR 0113932 |
| Reference:
|
[7] Baumslag G.: A Generalization of a Theorem of Malcev.Archiv. der Math. 12 (1961), 405-267. MR 0142636 |
| Reference:
|
[8] Baumslag G.: Some Remarks on Nilpotent Groups with Roots.Proc. Amer. Math. Soc. 12 (1961), 262-267. Zbl 0101.26203, MR 0123609 |
| Reference:
|
[9] Brown D. R.: Matrix Representations of Compact Simple Semigroups.Duke Math. J. 33 (1966), 69 - 74. Zbl 0136.27201, MR 0188347 |
| Reference:
|
[10] Brown D. R., Friedberg M.: Representation Theorems for Uniquely Divisible Semigroups.Duke Math. J. 35 (1968), 341 - 352. Zbl 0185.04601, MR 0223484 |
| Reference:
|
[11] Brown D. R., Friedberg M.: A New Notion of Semicharacters.Tians. Amer. Math. Soc. 41 (1969), 387-401. Zbl 0184.03704, MR 0242984 |
| Reference:
|
[12] Brown D. R., La Torre J. G.: A Characterization of Uniquely Divisible Commutative Semigroups.Pac. J. Math. 18 (1966), 57-60. MR 0200365 |
| Reference:
|
[13] Clark C. E.: Locally Algebraically Independent Collections of Subsemigroups of a Semigroup.Duke Math. J. 35 (1968), 843 -853. Zbl 0172.02602, MR 0233913 |
| Reference:
|
[14] Clark C. E., and Eberhart C.: A Characterization of Compact Connected Planar Lattices.Pac. J. Math. 24, (1968), 223-240. MR 0236885 |
| Reference:
|
[15] Clifford А. H., Preston G. B.: The Algebraic Theory of Semigroups.Vol. I, Аmer. Math. Soc. Survey 7, Providence, R. I., 1962. |
| Reference:
|
[16] Cohen H.: A Cohomological Definition of Dimension for Locally Compact Hausdorff Spaces.Duke Math. J. 21 (1954), 209-224. MR 0066637 |
| Reference:
|
[17] Cohen H., and Collins H. S.: Affine Semigroups.Trans. Аmer. Math. Soc. 93 (1959), 97-113. MR 0107677 |
| Reference:
|
[18] Davies E. T.: The Existence of Characters on Topological Lattices.J. London Math. Soc. 43 (1968), 217-220. Zbl 0164.33301, MR 0224513 |
| Reference:
|
[19] Day J. M.: Compact Semigroups with Square Roots.(to appear). Zbl 0214.03703, MR 0299712 |
| Reference:
|
[20] Dyеr E., Shields А. L.: Connectivity of Topological Lattices.Pac. J. Math. 9, (1959), 443-447. MR 0105464 |
| Reference:
|
[21] Faucett W. M.: Compact Semigroups Irreducibly Connected Between Two Idempotents.Proc. Аmer. Math. Soc. 6 (1955), 741 - 747. Zbl 0065.25204, MR 0071712 |
| Reference:
|
[22] Friedberg M.: On Representations of Certain Semigroups.Pac. J. Math. 19, (1966), 269-274. MR 0202905 |
| Reference:
|
[2З] Hancock V. R.: On Complete Semi-modules.Proc. Аmer. Math. Soc. 11 (1960), 71-76. MR 0113956 |
| Reference:
|
[24] Hildebrant J. А.: On Compact Unithetic Semigroups.Pac. J. Math. 21 (1967), 265-273. Zbl 0149.02603, MR 0212117 |
| Reference:
|
[25] Hildebrant J. А.: On Uniquely Divisible Semigroups on the Two-Cell.Pac. J. Math. 23 (1967), 91-95. MR 0213465 |
| Reference:
|
[26] Hildebrant J. А.: On Compact Divisible Abelian Semigroups.Proc. Аmer. Math. Soc. 19, (1968), 405-410. MR 0222206 |
| Reference:
|
[27] Hildebrant J. А.: The Universal Compact Subunithetic Semigroup.(to appear). Zbl 0185.05001, MR 0252548 |
| Reference:
|
[28] Hildebrant J. А.: The Structure of Compact Subunithetic Semigroups.(to appear). |
| Reference:
|
[29] Hofmann K. H.: Topologische Halbgruppen mit dichter sub-monogener Unterhalbgruppe.Math. Zеit. 74 (1960), 232 - 276. MR 0121431 |
| Reference:
|
[30] Hofmann K. H., and Mostеrt P. S.: Elements of Compact Semigroups.C. B. Mеrrill, Columbus, Ohio 1966. |
| Reference:
|
[31] Hudson, Lеstеr А.: Some Semigroups on the Two-Cell.Proc. Аmеr. Math. Soc. 1 (1959), 648-655. MR 0106968 |
| Reference:
|
[32] Hunter R. P., Rothman N. J.: Characters and Cross Sections for Certain Semigroups.Dukе Math. J. 29 (1962), 347 - 366. MR 0142110 |
| Reference:
|
[33] Кaplansky I.: Infinite Abelain Groups.U. of Chicago Prеss, Chicago, 111. 1950. |
| Reference:
|
[34] Кеimеl К.: Eine Exponentialfunktion for Kompakte abelsche Halbgruppen.Math. Аеit. 96 (1967), 7-25. MR 0202906 |
| Reference:
|
[35] Кoch R. J.: Threads in Compact Semigroups.Math. Zеit. 86 (1964) 312-316. MR 0171268 |
| Reference:
|
[З6] Lawson J. D.: Vietoris Mappings and Embeddings of Topological Semilattices.Univеrsity of Tеnnеssее Dissегtation 1967. MR 2616787 |
| Reference:
|
[37] Lawson J. D.: The Relation of Breadth and Codimension in Topological Semilattices.(to appеar). Zbl 0243.06004 |
| Reference:
|
[38] Lawson J. D.: A Generalized Version of the Victoris-Begle Theorem.(to appear). MR 0248805 |
| Reference:
|
[39] Lawson J. D.: Topological Semilattices with Small Semilattices.(to appear). Zbl 0185.03801, MR 0253301 |
| Reference:
|
[40] Lawson J. D.: Lattices with No Interval Homomorphisms.(to appear). Zbl 0195.03304, MR 0256363 |
| Reference:
|
[41] Mostert P. S., Shields A. L.: On the structure of Semigroups on a Compact Manifold with Boundary.Annals of Math. 65 (1957), 117-143. MR 0084103 |
| Reference:
|
[42] Mycielski J.: Some Properties of connected Groups.Coll. Math. 6 (1958), 162-166. MR 0100043 |
| Reference:
|
[43] Numakura K.: Theorems on Compact Totally Disconected Semigroups and Lattices.Proc. Amer. Math. Soc. 8 (1957), 623-626. MR 0087032 |
| Reference:
|
[44] Shneperman L. B.: Duality Theorem for Commutative Compat Topological Semigroups.Mathematisheskie Zametki 1 (1967), 531-536. MR 0212500 |
| Reference:
|
[45] Stralka A.: Compact Distributive Lattices of Breadth Two.(to appear). |
| Reference:
|
[46] Strauss D.: Topological Lattices.Proc. london Math. Soc 18 (1968), 217-230. Zbl 0153.33404, MR 0227948 |
| Reference:
|
[47] Tamura T.: Minimal Commutative Divisible Semigoups.Bull. Amer. Math. Soc. 69 (1963), 713-716. MR 0151536 |
| Reference:
|
[48] Ursell J. H.: On Two Problems of Mostert and Shields.Proc. Amer. Math. Soc. 61 (1955), 633-635. MR 0150741 |
| Reference:
|
[49] Wallace A. D.: The structure of Topological Semigroups.Bull. Amer. Math. Soc. 61 (1955), 95-112. Zbl 0065.00802, MR 0067907 |
| Reference:
|
[50] Wallace A. D.: Remarks on Affine Semigroups.Bull. Amer. Math. Soc. 66 (1960), 110-112. Zbl 0101.02102, MR 0110768 |
| Reference:
|
[51] Wendel J. G.: Haar Measure and the Semigroup of Measures on a Compact Group.Proc. Amer. Math. Soc. 5 (1954), 923-929. Zbl 0056.26001, MR 0067904 |
| Reference:
|
[52] Schwarz Š.: The Theory of Characters of Comutative Bicompact Semigroups.Czech. Math. J. 6 (1956), 330-361. MR 0092098 |
| Reference:
|
[53] Brown D. R., Friedbeg M.: Survey of Compact Divisible Commutative Semigroups.Semigroup Forum, (to appear). |
| . |
