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Article

Novotný, Miroslav
On some constructions of algebraic objects. (English). Czechoslovak Mathematical Journal, vol. 56 (2006), issue 2, pp. 389-402
MSC: 03C05, 08A30, 08A35, 08A60, 08B99 | MR 2291744 | Zbl 1164.08306
Keywords:
algebra; homomorphism; subalgebra; direct product; variety; mono-unary algebra
Summary:
Mono-unary algebras may be used to construct homomorphisms, subalgebras, and direct products of algebras of an arbitrary type.
References:
[1] G.  Grätzer: Universal Algebra. D.  Van Nostrand Company, Princeton, 1968. MR 0248066
[2] R. N.  McKenzie, G. G.  McNulty, and W. F.  Taylor: Algebras, Lattices, Varieties. Vol.  I. Wadsworth and Brooks/Cole, Monterey, 1987. MR 0883644
[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. DOI 10.2140/pjm.1963.13.1359 | MR 0157143
[5] M.  Novotný: Mono-unary algebras in the work of Czechoslovak mathematicians. Archivum Mathematicum Brno 26 (1990), 155–164. MR 1188275
[6] M. Novotný: Homomorphisms of algebras. Czechoslovak Math.  J. 52(127) (2002), 345–364. DOI 10.1023/A:1021782813143 | MR 1905442
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