On Direct Limit Closed Classes of Algebras
Axiomatic classes of algebras of a given type which are closed with respect to direct limits are studied in this paper.
Axiomatic classes of algebras of a given type which are closed with respect to direct limits are studied in this paper.
An algebra is said to have the endomorphism kernel property (EKP) if every congruence on is the kernel of some endomorphism of . Three classes of monounary algebras are dealt with. For these classes, all monounary algebras with EKP are described.
All monounary algebras which have strong endomorphism kernel property are described.
In this paper we describe all algebras with one unary operation such that by a direct limit construction exactly two nonisomorphic algebras can be obtained from .
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