The structure of the minimum group kernel of a regular semigroup

Francis E. Masat

Czechoslovak Mathematical Journal (1982)

  • Volume: 32, Issue: 3, page 377-383
  • ISSN: 0011-4642

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Masat, Francis E.. "The structure of the minimum group kernel of a regular semigroup." Czechoslovak Mathematical Journal 32.3 (1982): 377-383. <http://eudml.org/doc/13322>.

@article{Masat1982,
author = {Masat, Francis E.},
journal = {Czechoslovak Mathematical Journal},
keywords = {minimal group congruence; conventional semigroups; idempotents},
language = {eng},
number = {3},
pages = {377-383},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {The structure of the minimum group kernel of a regular semigroup},
url = {http://eudml.org/doc/13322},
volume = {32},
year = {1982},
}

TY - JOUR
AU - Masat, Francis E.
TI - The structure of the minimum group kernel of a regular semigroup
JO - Czechoslovak Mathematical Journal
PY - 1982
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 32
IS - 3
SP - 377
EP - 383
LA - eng
KW - minimal group congruence; conventional semigroups; idempotents
UR - http://eudml.org/doc/13322
ER -

References

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  1. A. H. Clifford, G. B. Preston, The Algebraic Theory of Semigroups, I, Providence, A.M.S., 1961. (1961) 
  2. A. H. Clifford, G. B. Preston, The Algebraic Theory of Semigroups, II, Providence, A.M.S., 1967. (1967) 
  3. С. Eberhart L. Kinch, W. Williams, 10.1017/S1446788700012726, J. Austral. Math. Soc., Vol. 15 (1973), pp. 27-34. (1973) MR0320185DOI10.1017/S1446788700012726
  4. R. S. Feigenbaum, Kernels of regular semigroup homomorphisms, Dissertation, Univ. of South Carolina, 1975. (1975) 
  5. D. G. Fitz-Gerald, 10.1017/S1446788700013756, J. Austral Math. Soc., V 13 (1972), pp. 335-337. (1972) MR0306366DOI10.1017/S1446788700013756
  6. T. E. Hall, 10.1016/0021-8693(73)90150-6, J. Algebra, V 24 (1973), pp. 1-24. (1973) Zbl0262.20074MR0310098DOI10.1016/0021-8693(73)90150-6
  7. J. M. Howie, G. Lallement, 10.1017/S2040618500035334, Proc. Glasgow Math. Assoc., Vol. 7 (1966), pp. 145-159. (1966) Zbl0136.26701MR0197598DOI10.1017/S2040618500035334
  8. F. W. Levi, On semigroups, Bull. Calcutta Math. Soc., Vol. 36 (1944), pp. 141-146. (1944) Zbl0061.02405MR0011694
  9. F. E. Masat, 10.1215/S0012-7094-73-04031-3, Duke Math. J., Vol. 40 (1973), pp. 393-402. (1973) Zbl0267.20057MR0318378DOI10.1215/S0012-7094-73-04031-3
  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. (1978) MR0486241
  11. R. R. Stoll, 10.2307/2372188, Amer. J. Math., Vol. 73 (1951), pp. 475-481. (1951) Zbl0042.25304MR0041128DOI10.2307/2372188

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