1. Strong retracts of unary algebras
- Creator:
- Madarász, Rozália Sz., Mašulović, Dragan , and Tasić, Boža
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- inflations of algebras, retracts of algebras, and unary algebras
- Language:
- English
- Description:
- This paper introduces the notion of a strong retract of an algebra and then focuses on strong retracts of unary algebras. We characterize subuniverses of a unary algebra which are carriers of its strong retracts. This characterization enables us to describe the poset of strong retracts of a unary algebra under inclusion. Since this poset is not necessarily a lattice, we give a necessary and sufficient condition for the poset to be a lattice, as well as the full description of the poset.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public