| Title:
|
Inverse semigroups determined by their lattices of inverse subsemigroups (English) |
| Author:
|
Jones, Peter R. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
31 |
| Issue:
|
1 |
| Year:
|
1981 |
| Pages:
|
24-47 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
20M10 |
| idZBL:
|
Zbl 0471.20045 |
| idMR:
|
MR604109 |
| DOI:
|
10.21136/CMJ.1981.101720 |
| . |
| Date available:
|
2008-06-09T14:42:14Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101720 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
[3] A. H. Clifford Sind G. В. Preston: Algebraic Theory of Semigroups.Math. Surveys 7, Amer. Math. Soc, Providence R.I., Vol. I, 1961, Vol. II, 1967. |
| Reference:
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[4] C. Eberhart: Elementary orthodox semigroups.'Proc. Symposium on Inverse Semigroups and their Generalizations, Northern Illinois University, 1973, 23-33. Zbl 0387.20054, MR 0382489 |
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[5] T. Eršova: Monogenically inverse semigroups.Ural. Gos. Univ. Mat. Zap. 8 (1971) tetrad' 1, 30-33 (Russian). MR 0299702 |
| Reference:
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[6] T. Eršova: Determinability of monogenically inverse semigroups by the lattice of inverse subsemigroups.Ural. Gos. Univ. Mat. Zap. 8 (1971), tetrad' 1, 34-49 (Russian). MR 0299703 |
| Reference:
|
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| Reference:
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[8] D. G. Green: Extensions of a semilattice by an inverse semigroup.Bull. Austral. Math. Soc. 9 (1973), 21-31. Zbl 0271.20033, MR 0323928, 10.1017/S0004972700042829 |
| Reference:
|
[9] M. Hall Jnr.: The Theory of Groups.MacMillan, New York, 1959. Zbl 0084.02202, MR 0103215 |
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[10] C. S. Holmes: Projectivites of free products.Rend. Sem. Mat. Univ. Padova 42 (1969), 341-387. MR 0268286 |
| Reference:
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[11] J. M. Howie: The maximum idempotent-separating congruence on an inverse semigroup.Proc. Edinburgh Math. Soc. (2), 14 (1964), 71-79. MR 0163976 |
| Reference:
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[12] J. M. Howie: An Introduction to Semigroup Theory.Academic Press, London, 1976. Zbl 0355.20056, MR 0466355 |
| Reference:
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[13] P. R. Jones: Basis properties for inverse semigroups.J. Algebra 50 (1978), 135-152. Zbl 0372.20048, MR 0466359, 10.1016/0021-8693(78)90179-5 |
| Reference:
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[14] P. R. Jones: Lattice isomorphisms of inverse semigroups.Proc. Edinburgh Math. Soc., 21 (1978), 149-157. Zbl 0403.20039, MR 0514902 |
| Reference:
|
[15] P. R. Jones: Semimodular inverse semigroups.J. London Math. Soc., 17 (1978), to appear. Zbl 0387.20042, MR 0500629 |
| Reference:
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[16] P. R. Jones: Distributive inverse semigroups.J. London Math. Soc., 17 (1978), to appear. Zbl 0387.20043, MR 0500630 |
| Reference:
|
[17] P. R. Jones: Lattice isomorphisms of distributive inverse semigroups.preprint. Zbl 0412.20064, MR 0500630 |
| Reference:
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[18] N. Knox: On the inverse semigroup coproduct of an arbitrary non-empty collection of groups.Ph. D. dissertation, Tennessee State University, Tennessee, 1976. |
| Reference:
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[19] B. P. Kočin: The structure of inverse ideal-simple $\omega$-semigroups.Vestnik Leningrad Univ. 23, No. 7. (1968), 41-50 (Russian). MR 0227296 |
| Reference:
|
[20] D. B. McAlister: Groups, semilattices and inverse semigroups, II.Trans. Amer. Math. Soc. 196 (1974), 351-370. MR 0357660, 10.1090/S0002-9947-74-99950-4 |
| Reference:
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[21] D. B. McAlister: Inverse semigroups generated by a pair of subgroups.Proc. Royal Soc. Edinburgh 77A (1977), 9-22. Zbl 0358.20077, MR 0450438 |
| Reference:
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[22] W. D. Munn: Uniform semilattices and bisimple inverse semigroups.Quart. J. Math. Oxford (2), 17 (1966), 151-159. Zbl 0147.00804, MR 0199292, 10.1093/qmath/17.1.151 |
| Reference:
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[23] W. D. Munn: Regular ю-semigroups.Glasgow Math. J. 9 (1968), 46-66. MR 0229742, 10.1017/S0017089500000288 |
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[24] W. D. Munn: Fundamental inverse semigroups.Quart. J. Math. Oxford (2), 21 (1970), 157-170. Zbl 0219.20047, MR 0262402, 10.1093/qmath/21.2.157 |
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|
[25] W. D. Munn: On simple inverse semigroups.Semigroup Forum 1 (1970), 63-74. Zbl 0218.20052, MR 0263954, 10.1007/BF02573020 |
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[26] O. Ore: Structures and group theory, II.Duke Math. J. 4 (1938), 247-269. Zbl 0020.34801, MR 1546048, 10.1215/S0012-7094-38-00419-3 |
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[27] G. B. Preston: Inverse semigroups: some open questions.Proc. Symposium on Inverse Semigroups and their Generalizations, Northern Illinois University, 1973, 122-139. Zbl 0356.20058, MR 0414755 |
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[28] N. R. Reilly: Congruences on a bisimple inverse semigroup in terms of RP-systems.Proc London Math. Soc. (3), 23 (1971), 99-127. Zbl 0223.20073, MR 0306375 |
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[29] N. R. Reilly, W. D. Munn: E-unitary congruences on inverse semigroups.Glasgow Math. J. 77(1976), 57-75. Zbl 0328.20048, MR 0404498 |
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| . |
