Several inverse limit closed classes of algebras. (English) Zbl 1225.08002

Halušková, Emília

Chajda, I. (ed.) et al., Proceedings of the 79th workshop on general algebra “79. Arbeitstagung Allgemeine Algebra”, 25th conference of young algebraists, Palacký University Olomouc, Olomouc, Czech Republic, February 12–14, 2010. Klagenfurt: Verlag Johannes Heyn (ISBN 978-3-7084-0407-3/pbk). Contributions to General Algebra 19, 103-112 (2010).

Summary: In this paper, classes of algebras which are closed with respect to inverse limits are studied. We prove that the class of all retracts of a finite algebra is a class with this property. Further, we deal with some inverse limit closed classes, which are determined by term operations.
For the entire collection see [Zbl 1201.08001].

MSC:

08B25	Products, amalgamated products, and other kinds of limits and colimits
08A60	Unary algebras
03C05	Equational classes, universal algebra in model theory

Keywords:

retracts; inverse limit; closed class; term operation; monounary algebra