| Title:
             | 
Duality and algebraically irreducible semigroups (English) | 
| Author:
             | 
Rothman, Neal J. | 
| Language:
             | 
English | 
| Journal:
             | 
Czechoslovak Mathematical Journal | 
| ISSN:
             | 
0011-4642 (print) | 
| ISSN:
             | 
1572-9141 (online) | 
| Volume:
             | 
23 | 
| Issue:
             | 
1 | 
| Year:
             | 
1973 | 
| Pages:
             | 
24-29 | 
| Summary lang:
             | 
English | 
| . | 
| Category:
             | 
math | 
| . | 
| MSC:
             | 
22A20 | 
| idZBL:
             | 
Zbl 0267.22004 | 
| idMR:
             | 
MR0348031 | 
| DOI:
             | 
10.21136/CMJ.1973.101141 | 
| . | 
| Date available:
             | 
2008-06-09T13:59:45Z | 
| Last updated:
             | 
2020-07-28 | 
| Stable URL:
             | 
http://hdl.handle.net/10338.dmlcz/101141 | 
| . | 
| Reference:
             | 
[1] С. W. Austin: Duality theorems for commutative semigroups.T.A.M.S. 199 (1963), 245-256. 10.1090/S0002-9947-1963-0153776-7 | 
| Reference:
             | 
[2] A. С. Baker, J. W. Baker: Duality of topological semigroups with involution.J. Lond. Math. Soc. 44 (1969), 251-261. Zbl 0162.04001, MR 0236299, 10.1112/jlms/s1-44.1.251 | 
| Reference:
             | 
[3] J. W. Baker, N. J. Rothman: Separating points by semicharacters in topological semigroups.P. A. M. S. 2 (1969), 235-9. Zbl 0186.20201, MR 0236301, 10.1090/S0002-9939-1969-0236301-2 | 
| Reference:
             | 
[4] J. G. Bergman: A duality theorem for standard threads.Czech. Math. J. 21(1971), 167-171. Zbl 0228.22007, MR 0285656 | 
| Reference:
             | 
[5] J. G. Bergman, N. J. Rothman: An $L\sp{1}$ algebra for algebraically irreducible semigroups.Studia Math., 33 (1969), 257-272. Zbl 0197.39602, MR 0248539, 10.4064/sm-33-3-257-272 | 
| Reference:
             | 
[6] D. R. Brown, M. Friedberg: A new notion of semicharacters.T.A.M.S., 141 (1969), 387-401. Zbl 0184.03704, MR 0242984, 10.1090/S0002-9947-1969-0242984-8 | 
| Reference:
             | 
[7] A. H. Clifford: Connected ordered topological semigroups with idempotent end points I.T.A.M.S., 88 (1958), 80-98. MR 0095221 | 
| Reference:
             | 
[8] J. A. Green: On the structure of semigroups.Annals of Math., 54 (1951), 163-172. Zbl 0043.25601, MR 0042380, 10.2307/1969317 | 
| Reference:
             | 
[9] N. J. Rothman: Algebraically Irreducible Semigroups.Duke Math. J., 30 (1963), 511 - 518. Zbl 0132.26603, MR 0155911, 10.1215/S0012-7094-63-03055-2 | 
| Reference:
             | 
[10] N. J. Rothman: An $L\sp{1}$ algebra for linearly quasi-ordered compact semigroups;.Pacific J. Math., 23 (1968), 579-588. Zbl 0165.03502, MR 0233914, 10.2140/pjm.1968.26.579 | 
| Reference:
             | 
[11] N. J. Rothman: Remarks on duality and semigroups.Israel J. Math., 8 (1970), 83-89. Zbl 0197.01703, MR 0260920, 10.1007/BF02771555 | 
| Reference:
             | 
[12] N. J. Rothman: Duality and linearly quasi-ordered compact semigroups.J. London Math. Soc. 3 (1971), 439-445. Zbl 0239.22005, MR 0285663, 10.1112/jlms/s2-3.3.439 | 
| Reference:
             | 
[13] A. D. Wallace: The structure of topological semigroups.B.A.M.S., 61 (1955), 95-112. Zbl 0065.00802, MR 0067907, 10.1090/S0002-9904-1955-09895-1 | 
| . |