On SLA-ideals

Ladislav Satko; Otokar Grošek

Mathematica Slovaca (1995)

  • Volume: 45, Issue: 1, page 45-52
  • ISSN: 0139-9918

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Satko, Ladislav, and Grošek, Otokar. "On SLA-ideals." Mathematica Slovaca 45.1 (1995): 45-52. <http://eudml.org/doc/32029>.

@article{Satko1995,
author = {Satko, Ladislav, Grošek, Otokar},
journal = {Mathematica Slovaca},
keywords = {left -ideals of semigroups; mild ideals; SLA-ideals; minimal SLA-ideals; rectangular band of SLA-simple groups},
language = {eng},
number = {1},
pages = {45-52},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On SLA-ideals},
url = {http://eudml.org/doc/32029},
volume = {45},
year = {1995},
}

TY - JOUR
AU - Satko, Ladislav
AU - Grošek, Otokar
TI - On SLA-ideals
JO - Mathematica Slovaca
PY - 1995
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 45
IS - 1
SP - 45
EP - 52
LA - eng
KW - left -ideals of semigroups; mild ideals; SLA-ideals; minimal SLA-ideals; rectangular band of SLA-simple groups
UR - http://eudml.org/doc/32029
ER -

References

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  2. CLIFFORD A. H., Partially ordered Abelian groups, Ann. of Math. 41 (1940), 465-473. (1940) Zbl0025.00801MR0002134
  3. CLIFFORD A. H., PRESTON G. B., The Algebraic Theory of Semigroups I; II, Amer. Math. Soc., Providence, R. I., 1961; 1967. (1961) 
  4. FUCHS L., Partially Ordered Algebraic Systems, Pergamon Press, Oxford, 1963. (1963) Zbl0137.02001MR0171864
  5. GROŠEK O., JAJCAY R., Generalized difference sets on an infinite cyclic semigroup, J. Combin. Math. Combin. Comput. 13 (1993), 167-174. (1993) Zbl0777.05025MR1220610
  6. GROŠEK O., SATKO L., A new notion in the theory of semigroups, Semigroup Forum 20 (1980), 233-240. (1980) MR0582229
  7. GROŠEK O., SATKO L., Smallest A-ideals in semigroups, Semigroup Forum 23 (1981), 297-309. (1981) Zbl0484.20030MR0638574
  8. LYAPIN E. S., AIZENSHTAT A. YA., LESOKHIN M. M., Exercises in Group Theory, Plenum Press, New York, 1972. (1972) MR0322018
  9. PUTCHA M. S., Maximal cancellative subsemigroups and cancellative congruences, Proc. Amer. Math. Soc. 47 (1975), 49-52. (1975) Zbl0307.20036MR0352308
  10. RANKIN S. A., REIS, C M., Semigroups with quasi-zeros, Canad. J. Math. XXXII (1980), 511-530. (1980) MR0586972
  11. SATKO L., GROŠEK O., On minimal A-ideals of semigroups, Semigroup Forum 23 (1981), 283-295. (1981) Zbl0477.20047MR0638573
  12. SATKO L., GROŠEK O., On maximal A-ideals in semigroups, Colloq. Math. Soc. János Bolyai 39 (1981), 389-395. (1981) MR0873161
  13. SCHWARZ Š., On the structure of simple semigroups without zero, Czechoslovak Math. J. 1(76) (1951), 41-53. (1951) Zbl0045.15608MR0048428
  14. SHIMBIREVA H., On the theory of partially ordered groups, Mat. Sb. 20 (1947), 145-178 (1947) Zbl0029.10301MR0020558

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