| Title:
|
Semi-automorphisms of transformation semigroups (English) |
| Author:
|
Sullivan, Robert P. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
33 |
| Issue:
|
4 |
| Year:
|
1983 |
| Pages:
|
548-554 |
| . |
| Category:
|
math |
| . |
| MSC:
|
20M15 |
| MSC:
|
20M20 |
| idZBL:
|
Zbl 0537.20037 |
| idMR:
|
MR721086 |
| DOI:
|
10.21136/CMJ.1983.101912 |
| . |
| Date available:
|
2008-06-09T14:56:57Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101912 |
| . |
| Reference:
|
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| Reference:
|
[2] L. Childs: A Concrete Introduction to Higher Algebra.Springer-Verlag, 1979. Zbl 0397.00002, MR 0520728 |
| Reference:
|
[3] A. H. Clifford, G. B. Preston: The Algebraic Theory of Semigroups.Math. Surveys, No. 7, Amer. Math. Soc., Providence, RI, Volume I (1961), Volume 2 (1967). Zbl 0111.03403 |
| Reference:
|
[4] J. Dieudonné: On the automorphisms of the classical groups.Mem. Amer. Math. Soc., No. 2, 1951. MR 0045125 |
| Reference:
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[5] F. Dinkines: Semi-automorphisms of symmetric and alternating groups.Proc. Amer. Math. Soc., 2 (1951) 478-486. MR 0041140, 10.1090/S0002-9939-1951-0041140-8 |
| Reference:
|
[6] A. E. Evseev, N. E. Podran: Semigroups of transformations generated by idempotents with given projection characteristics.Izv. Vyss. Ucebn. Zaved. Mat., 12 (103) 1970, 30-36. MR 0283106 |
| Reference:
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[7] I. N. Herstein, M. F. Ruchte: Semi-automorphisms of groups.Proc. Amer. Math. Soc., 9 (1958) 145-150. MR 0094395, 10.1090/S0002-9939-1958-0094395-4 |
| Reference:
|
[8] J. M. Howie: The subsemigroup generated by the idempotents of a full transformation semigroup.J. London Math. Soc., 41 (1966) 707-716. Zbl 0146.02903, MR 0219649 |
| Reference:
|
[9] Loo-Keng Hua: On the automorphisms of a sfield.Proc Nat. Acad. Sci. U.S.A., 35 (1949) 386-389. MR 0029886, 10.1073/pnas.35.7.386 |
| Reference:
|
[10] N. Jacobson: Isomorphisms of Jordan rings.Amer. J. Math., 70 (1948) 317-326. Zbl 0039.02801, MR 0024893, 10.2307/2372329 |
| Reference:
|
[11] N. Jacobson, С. E. Rickart: Jordan homomorphisms of rings.Trans. Amer. Math. Soc., 69 (1950) 479-502. Zbl 0039.26402, MR 0038335, 10.1090/S0002-9947-1950-0038335-X |
| Reference:
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[12] N. Jacobson: Basic Algebra.I, W. H. Freeman and Co., 1974. Zbl 0284.16001, MR 0356989 |
| Reference:
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[13] I. Kaplansky: Semi-automorphisms of rings.Duke Math. J., 14 (1947) 521-525. Zbl 0029.24801, MR 0022209, 10.1215/S0012-7094-47-01443-9 |
| Reference:
|
[14] K. D. Magill: Semigroup structures for families of functions.I, J. Austral. Math. Soc., 7 (1967) 81-94. Zbl 0163.17104, MR 0207875, 10.1017/S1446788700005115 |
| Reference:
|
[15] W. R. Scott: Half-homomorphisms of groups.Proc Amer. Math. Soc., 8 (1957) 1141- 1144. MR 0095890, 10.1090/S0002-9939-1957-0095890-3 |
| Reference:
|
[16] W. R. Scott: Group Theory.Prentice-Hall, 1964. Zbl 0126.04504, MR 0167513 |
| Reference:
|
[17] W. R. Scott: Semi-isomorphisms of certain infinite permutation groups.Proc. Amer. Math. Soc., 21 (1969) 711-713. Zbl 0175.29902, MR 0241519, 10.1090/S0002-9939-1969-0241519-9 |
| Reference:
|
[18] L. N. Sevrin: Semi-isomorphisms and lattice isomorphisms of semigroups with a cancellation law.Dokl. Akad. Nauk SSSR, 171 (1966) 296-298; translated as Sov. Math. Dokl., 7 (1966) 1491-1493. MR 0210803 |
| Reference:
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[19] L. N. Sevrin: Semi-isomorphisms of semigroups with cancellation law.Izv. Akad. Nauk SSSR, Ser. Mat. 31 (1967) 957-964. MR 0238976 |
| Reference:
|
[20] R. P. Sullivan: Automorphisms of transformation semigroups.J. Austral. Math. Soc., 20 (Series A) 1975, 77-84. Zbl 0318.20042, MR 0372095, 10.1017/S144678870002396X |
| Reference:
|
[21] R. P. Sullivan: Automorphisms of injective transformation semigroups.(to appear). Zbl 0507.20037, MR 0681416 |
| Reference:
|
[22] J. S. V. Symons: Automorphisms of transformation semigroups.Ph. D. Thesis, University of Western Australia, 1973. |
| Reference:
|
[23] M. Weinstein: Examples of Groups.Polygonal Pub. House, 1977. Zbl 0359.20001, MR 0453847 |
| . |
