1. Structure of partially ordered cyclic semigroups
- Creator:
- Drewniak, Jósef and Sobera, Jolanta
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- cyclic semigroup, ordered semigroup, lattice order, idempotent element, subidempotent, and superidempotent elements
- Language:
- English
- Description:
- 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.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public