Structure of partially ordered cyclic semigroups
Józef Drewniak; Jolanta Sobera
Czechoslovak Mathematical Journal (2003)
- Volume: 53, Issue: 4, page 777-791
- ISSN: 0011-4642
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topDrewniak, Józef, and Sobera, Jolanta. "Structure of partially ordered cyclic semigroups." Czechoslovak Mathematical Journal 53.4 (2003): 777-791. <http://eudml.org/doc/30815>.
@article{Drewniak2003,
abstract = {This paper recalls some properties of a cyclic semigroup and examines cyclic subsemigroups in a finite ordered semigroup. We prove that a partially ordered cyclic semigroup has a spiral structure which leads to a separation of three classes of such semigroups. The cardinality of the order relation is also estimated. Some results concern semigroups with a lattice order.},
author = {Drewniak, Józef, Sobera, Jolanta},
journal = {Czechoslovak Mathematical Journal},
keywords = {cyclic semigroup; ordered semigroup; lattice order; idempotent element; subidempotent; superidempotent elements; cyclic semigroup; ordered semigroup; lattice order; idempotent element; subidempotent; superidempotent elements},
language = {eng},
number = {4},
pages = {777-791},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Structure of partially ordered cyclic semigroups},
url = {http://eudml.org/doc/30815},
volume = {53},
year = {2003},
}
TY - JOUR
AU - Drewniak, Józef
AU - Sobera, Jolanta
TI - Structure of partially ordered cyclic semigroups
JO - Czechoslovak Mathematical Journal
PY - 2003
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 53
IS - 4
SP - 777
EP - 791
AB - This paper recalls some properties of a cyclic semigroup and examines cyclic subsemigroups in a finite ordered semigroup. We prove that a partially ordered cyclic semigroup has a spiral structure which leads to a separation of three classes of such semigroups. The cardinality of the order relation is also estimated. Some results concern semigroups with a lattice order.
LA - eng
KW - cyclic semigroup; ordered semigroup; lattice order; idempotent element; subidempotent; superidempotent elements; cyclic semigroup; ordered semigroup; lattice order; idempotent element; subidempotent; superidempotent elements
UR - http://eudml.org/doc/30815
ER -
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