Notes on semimedial semigroups

Fitore Abdullahu; Abdullah Zejnullahu

Commentationes Mathematicae Universitatis Carolinae (2009)

  • Volume: 50, Issue: 3, page 321-324
  • ISSN: 0010-2628

Abstract

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The class of semigroups satisfying semimedial laws is studied. These semigroups are called semimedial semigroups. A connection between semimedial semigroups, trimedial semigroups and exponential semigroups is presented. It is proved that the class of strongly semimedial semigroups coincides with the class of trimedial semigroups and the class of dimedial semigroups is identical with the class of exponential semigroups.

How to cite

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Abdullahu, Fitore, and Zejnullahu, Abdullah. "Notes on semimedial semigroups." Commentationes Mathematicae Universitatis Carolinae 50.3 (2009): 321-324. <http://eudml.org/doc/33317>.

@article{Abdullahu2009,
abstract = {The class of semigroups satisfying semimedial laws is studied. These semigroups are called semimedial semigroups. A connection between semimedial semigroups, trimedial semigroups and exponential semigroups is presented. It is proved that the class of strongly semimedial semigroups coincides with the class of trimedial semigroups and the class of dimedial semigroups is identical with the class of exponential semigroups.},
author = {Abdullahu, Fitore, Zejnullahu, Abdullah},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {semimedial semigroups; medial semigroups; exponential semigroups; trimedial semigroups; dimedial semigroups},
language = {eng},
number = {3},
pages = {321-324},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Notes on semimedial semigroups},
url = {http://eudml.org/doc/33317},
volume = {50},
year = {2009},
}

TY - JOUR
AU - Abdullahu, Fitore
AU - Zejnullahu, Abdullah
TI - Notes on semimedial semigroups
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2009
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 50
IS - 3
SP - 321
EP - 324
AB - The class of semigroups satisfying semimedial laws is studied. These semigroups are called semimedial semigroups. A connection between semimedial semigroups, trimedial semigroups and exponential semigroups is presented. It is proved that the class of strongly semimedial semigroups coincides with the class of trimedial semigroups and the class of dimedial semigroups is identical with the class of exponential semigroups.
LA - eng
KW - semimedial semigroups; medial semigroups; exponential semigroups; trimedial semigroups; dimedial semigroups
UR - http://eudml.org/doc/33317
ER -

References

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  8. Nagy A., 10.1007/BF02572491, Semigroup Forum 28 (1984), 303--321. Zbl0527.20047MR0729670DOI10.1007/BF02572491
  9. Petrich M., Structure des demi-groupes at anneaux distributive, C.R. Acad. Sci. Paris Sér. A-B 268 (1969), A849--A852. MR0242976
  10. Putcha M.S., 10.1007/BF02389104, Semigroup Forum 6 (1973), 12--34. MR0369582DOI10.1007/BF02389104
  11. Zejnullahu A., Medial semigroups and their generalization, Dissertation, University of Prishtina, Prishtina, 1989. 
  12. Zejnullahu A., Splitting left distributive semigroups, Acta. Univ. Carolin. Math. Phys. 30 (1989), no. 1, 23--27. Zbl0705.20054MR1046072
  13. Zejnullahu A., Free left distributive semigroups, Acta. Univ. Carolin. Math. Phys. 30 (1989), no. 1, 29--32. Zbl0705.20055MR1046073

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