On varieties, generalized varieties and pseudovarieties of homomorphisms

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Authors

POLÁK Libor

Year of publication 2005
Type Article in Proceedings
Conference Contribution to General Algebra 16
MU Faculty or unit

Faculty of Science

Citation
Field General mathematics
Keywords varieties of homomorphisms
Description We introduce C-varieties and generalized C-varieties of homomorphisms from free algebras onto algebras of a given type, where C is a category of free algebras of this type. We formulate and prove (in fact, we generalize) the classical results of universal algebra for them. We study all in detail in the case of mono-unary algebras for a very natural category.
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