1. DR-irreducibility of connected monounary algebras
- Creator:
- Jakubíková-Studenovská, Danica
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- math and connected monounary algebras
- Language:
- English
- Description:
- This paper is a continuation of [6], where irreducibility in the sense of Duffus and Rival (DR-irreducibility) of monounary algebras was defined. The definition is analogous to that introduced by Duffus and Rival [1] for the case of posets. In [6] we found all connected monounary algebras A possessing a cycle and such that A is DR-irreducible. The main result of the present paper is Thm. 4.1 which describes all connected monounary algebras A without a cycle and such that A is DR-irreducible.Other types of irreducibility of monounary algebras defined by means of the notion of a retract were studied in [2]–[5].
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public