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Title: The structure of the minimum group kernel of a regular semigroup (English)
Author: Masat, Francis E.
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 32
Issue: 3
Year: 1982
Pages: 377-383
Summary lang: Russian
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Category: math
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MSC: 20M15
idZBL: Zbl 0509.20047
idMR: MR669779
DOI: 10.21136/CMJ.1982.101813
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Date available: 2008-06-09T14:48:59Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/101813
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Reference: [1] A. H. Clifford, G. B. Preston: The Algebraic Theory of Semigroups, I.Providence, A.M.S., 1961.
Reference: [2] A. H. Clifford, G. B. Preston: The Algebraic Theory of Semigroups, II.Providence, A.M.S., 1967.
Reference: [3] С. Eberhart L. Kinch, W. Williams: Idempotent-generated regular semigroups.J. Austral. Math. Soc., Vol. 15 (1973), pp. 27-34. MR 0320185, 10.1017/S1446788700012726
Reference: [4] R. S. Feigenbaum: Kernels of regular semigroup homomorphisms.Dissertation, Univ. of South Carolina, 1975.
Reference: [5] D. G. Fitz-Gerald: On inverse of products of idempotents in regular semigroups.J. Austral Math. Soc., V 13 (1972), pp. 335-337. MR 0306366, 10.1017/S1446788700013756
Reference: [6] T. E. Hall: On regular semigroups.J. Algebra, V 24 (1973), pp. 1-24. Zbl 0262.20074, MR 0310098, 10.1016/0021-8693(73)90150-6
Reference: [7] J. M. Howie, G. Lallement: Certain fundamental congruences on a regular semigroup.Proc. Glasgow Math. Assoc., Vol. 7 (1966), pp. 145-159. Zbl 0136.26701, MR 0197598, 10.1017/S2040618500035334
Reference: [8] F. W. Levi: On semigroups.Bull. Calcutta Math. Soc., Vol. 36 (1944), pp. 141-146. Zbl 0061.02405, MR 0011694
Reference: [9] F. E. Masat: Right group and group congruences on a regular semigroup.Duke Math. J., Vol. 40 (1973), pp. 393-402. Zbl 0267.20057, MR 0318378, 10.1215/S0012-7094-73-04031-3
Reference: [10] F. E. Masat: The minimum reflexive semigroup generated by the set of idempotents of a regular semigroup.Semigroup Forum, Vol. 15 (1978), pp. 387-388. MR 0486241
Reference: [11] R. R. Stoll: Homomorphisms of a semigroup onto a group.Amer. J. Math., Vol. 73 (1951), pp. 475-481. Zbl 0042.25304, MR 0041128, 10.2307/2372188
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