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On some constructions of algebraic objects. (English) Zbl 1164.08306

Summary: Mono-unary algebras may be used to construct homomorphisms, subalgebras, and direct products of algebras of an arbitrary type.

MSC:

08A60 Unary algebras
08A30 Subalgebras, congruence relations
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References:

[1] G. Grätzer: Universal Algebra. D. Van Nostrand Company, Princeton, 1968.
[2] R. N. McKenzie, G. G. McNulty, and W. F. Taylor: Algebras, Lattices, Varieties. Vol. I. Wadsworth and Brooks/Cole, Monterey, 1987. · Zbl 0611.08001
[3] M. Novotný: O jednom problému z teorie zobrazení (Sur un problème de la théorie des applications). Publ. Fac. Sci. Univ. Masaryk, No 344 (1953), 53–64.
[4] M. Novotný: Über Abbildungen von Mengen. Pacific J. Math. 13 (1963), 1359–1369. · Zbl 0137.25304
[5] M. Novotný: Mono-unary algebras in the work of Czechoslovak mathematicians. Archivum Mathematicum Brno 26 (1990), 155–164. · Zbl 0741.08001
[6] M. Novotný: Homomorphisms of algebras. Czechoslovak Math. J. 52(127) (2002), 345–364. · Zbl 1010.08004
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