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Title: Embedding semigroups in nilpotent-generated semigroups (English)
Author: Howie, John M.
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 39
Issue: 1
Year: 1989
Pages: 47-54
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Category: math
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MSC: 20M05
MSC: 20M10
idZBL: Zbl 0689.20046
idMR: MR1016330
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Date available: 2009-09-25T10:14:51Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/128984
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Reference: [1] EVANS T.: Embedding theorems for multiplicative systems and projective geometries.Proc. American Math. Soc. 3, 1952, 614-620. Zbl 0047.02102, MR 0050566
Reference: [2] GOMES G. M. S., HOWIE J. M.: Nilpotents in finite symmetric inverse semigroups.Proc. Edinburgh Math. Soc., (2) 30, 1987, 383-395. Zbl 0629.20037, MR 0908445
Reference: [3] GOMES G. M. S., HOWIE J. M.: On the ranks of certain finite semigroups of transformations.Math. Proc. Cambridge Philos. Soc., 101, 1987, 395-403. Zbl 0622.20056, MR 0878889
Reference: [4] HOWIE J. M.: The subsemigroup generated by the idempotents of a finite full transformation semigroup.J. London Math. Soc. 41, 1966, 707-716. MR 0219649
Reference: [5] HOWIE J. M.: An Introduction to Semigroup Theory.Academic Press, London, 1976. Zbl 0355.20056, MR 0466355
Reference: [6] HOWIE J. M.: Embedding semigroups in semibands: some arithmetical гesults.Quart. J. Math. Oxford (2), 32, 1981, 323-337. MR 0625644
Reference: [7] HOWIE J. M., MARQUES-SMITH M. P. O.: Inverse semigroups generated by nilpotent transformations.Proc. Royal Soc. Edinburgh A99, 1984, 152-162. Zbl 0581.20062
Reference: [8] NEUMANN B. H.: Embedding theorems for semigroups.J. London Math. Soc. 35, 1960, 183-192. Zbl 0090.01701, MR 0163969
Reference: [9] PASTIJN F.: Embedding semigroups in semibands.Semigroup Forum 14, 1977, 247-263. Zbl 0363.20052, MR 0453900
Reference: [10] SUBBIAH S.: Another proof of a theorem of Evans.Semigroup Forum 6, 1973, 93 -94. Zbl 0255.20043, MR 0376930
Reference: [11] SULLIVAN R. P.: Semigroups generated by nilpotent transformations.J. Algebra (to appear). Zbl 0626.20051, MR 0910387
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