Embedding semigroups in nilpotent-generated semigroups

John Mackintosh Howie

Mathematica Slovaca (1989)

  • Volume: 39, Issue: 1, page 47-54
  • ISSN: 0232-0525

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Howie, John Mackintosh. "Embedding semigroups in nilpotent-generated semigroups." Mathematica Slovaca 39.1 (1989): 47-54. <http://eudml.org/doc/31691>.

@article{Howie1989,
author = {Howie, John Mackintosh},
journal = {Mathematica Slovaca},
keywords = {Rees matrix semigroups; semigroup generated by 3 nilpotent elements; embeddings into nilpotent-generated semigroups; regular semigroup},
language = {eng},
number = {1},
pages = {47-54},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Embedding semigroups in nilpotent-generated semigroups},
url = {http://eudml.org/doc/31691},
volume = {39},
year = {1989},
}

TY - JOUR
AU - Howie, John Mackintosh
TI - Embedding semigroups in nilpotent-generated semigroups
JO - Mathematica Slovaca
PY - 1989
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 39
IS - 1
SP - 47
EP - 54
LA - eng
KW - Rees matrix semigroups; semigroup generated by 3 nilpotent elements; embeddings into nilpotent-generated semigroups; regular semigroup
UR - http://eudml.org/doc/31691
ER -

References

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  1. EVANS T., Embedding theorems for multiplicative systems and projective geometries, Proc. American Math. Soc. 3, 1952, 614-620. (1952) Zbl0047.02102MR0050566
  2. GOMES G. M. S., HOWIE J. M., Nilpotents in finite symmetric inverse semigroups, Proc. Edinburgh Math. Soc., (2) 30, 1987, 383-395. (1987) Zbl0629.20037MR0908445
  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. (1987) Zbl0622.20056MR0878889
  4. HOWIE J. M., The subsemigroup generated by the idempotents of a finite full transformation semigroup, J. London Math. Soc. 41, 1966, 707-716. (1966) MR0219649
  5. HOWIE J. M., An Introduction to Semigroup Theory, Academic Press, London, 1976. (1976) Zbl0355.20056MR0466355
  6. HOWIE J. M., Embedding semigroups in semibands: some arithmetical гesults, Quart. J. Math. Oxford (2), 32, 1981, 323-337. (1981) MR0625644
  7. HOWIE J. M., MARQUES-SMITH M. P. O., Inverse semigroups generated by nilpotent transformations, Proc. Royal Soc. Edinburgh A99, 1984, 152-162. (1984) Zbl0581.20062
  8. NEUMANN B. H., Embedding theorems for semigroups, J. London Math. Soc. 35, 1960, 183-192. (1960) Zbl0090.01701MR0163969
  9. PASTIJN F., Embedding semigroups in semibands, Semigroup Forum 14, 1977, 247-263. (1977) Zbl0363.20052MR0453900
  10. SUBBIAH S., Another proof of a theorem of Evans, Semigroup Forum 6, 1973, 93 -94. (1973) Zbl0255.20043MR0376930
  11. SULLIVAN R. P., Semigroups generated by nilpotent transformations, J. Algebra (to appear). Zbl0626.20051MR0910387

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