On minimal ideals in semigroups with respect to their subsets. II.

Imrich Abrhan

Mathematica Slovaca (1994)

  • Volume: 44, Issue: 4, page 463-478
  • ISSN: 0139-9918

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Abrhan, Imrich. "On minimal ideals in semigroups with respect to their subsets. II.." Mathematica Slovaca 44.4 (1994): 463-478. <http://eudml.org/doc/34388>.

@article{Abrhan1994,
author = {Abrhan, Imrich},
journal = {Mathematica Slovaca},
keywords = {partial left groups; completely simple semigroups; minimal left ideals},
language = {eng},
number = {4},
pages = {463-478},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On minimal ideals in semigroups with respect to their subsets. II.},
url = {http://eudml.org/doc/34388},
volume = {44},
year = {1994},
}

TY - JOUR
AU - Abrhan, Imrich
TI - On minimal ideals in semigroups with respect to their subsets. II.
JO - Mathematica Slovaca
PY - 1994
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 44
IS - 4
SP - 463
EP - 478
LA - eng
KW - partial left groups; completely simple semigroups; minimal left ideals
UR - http://eudml.org/doc/34388
ER -

References

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  1. CLIFFORD A. H., PRESTON G. B., The Algebraic Theory of Semigroups, Vol. I; Vol. II, Amer. Math. Soc., Providence, R.I., 1961; 1967. (1961) Zbl0111.03403MR0132791
  2. CLIFFORD A. H., Semigroups admitting relative inverses, Ann. of Math. 42 (1941). 1037-1049. (1941) Zbl0063.00920MR0005744
  3. CLIFFORD A. H., Semigroups containing minimal ideals, Amer. J. Math. 70 (1948). 521-526. (1948) Zbl0038.01103MR0025476
  4. CLIFFORD A. H., Semigroups without nilpotent ideals, Amer. J. Math.71 (1949). 834-844. (1949) Zbl0045.30101MR0032661
  5. IVAN J., On a decomposition of simple semigroups to direct product, (Slovak). Mat. Čas. 4 (1954), 181-201. (1954) MR0072881
  6. LYAPIN E. S., Semigroups, (Russian), Nauka, Moskva, 1960. (1960) Zbl0128.02703
  7. REES D., Note on semigroups, Math. Proc. Cambridge Philos. Soc. 37 (1941). 334- 435. (1941) MR0005743
  8. SCHWARZ S., Theory of semigroups, (Slovak), Sborník Prírodov. Fak. Slov. Univ. no. 6 (1943), 1-64. (1943) MR0407170
  9. SCHWARZ S., A structure of simple semigroups without zero, (Russian). Czechoslovak Math. J. 1(76) (1951), 51-65. (1951) MR0048428
  10. SCHWARZ S., On semigroups having a kernel, (Russian), Czechoslovak Math. J. 1(76) (1951), 259-301. (1951) MR0051221
  11. SUSCHEWITSCH A., Über die endlichen Gruppen ohne Gesetz der eindestigen Umkehrbarkeit, Math. Ann. 99 (1982), 30-50. (1982) 
  12. ABRHAN I., On J-subalgebras in unary algebras on simple ideals and J-ideals in groupoids and semigroups, (Russian), Math. Slovaca 28 (1978), 61-80. (1978) MR0527775
  13. ABRHAN I., On minimal ideals of semigroups with respect to their subsets, I. Math. Bohemica (Submitted). 

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