Groups of simple algebras
Moss E. Sweedler (1974)
Publications Mathématiques de l'IHÉS
Karel Drbohlav (1981)
Acta Universitatis Carolinae. Mathematica et Physica
B. Ganter, Jerzy Płonka, H. Werner (1973)
Fundamenta Mathematicae
Danica Jakubíková-Studenovská (2002)
Czechoslovak Mathematical Journal
H. Länger (1980)
Colloquium Mathematicae
Alex Muir, Mary Wynne Warner (1980)
Czechoslovak Mathematical Journal
František Krutský (1983)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
Jaroslav Ježek, P. Marković, David Stanovský (2007)
Czechoslovak Mathematical Journal
We prove that a finite unary algebra with at least two operation symbols is a homomorphic image of a (finite) subdirectly irreducible algebra if and only if the intersection of all its subalgebras which have at least two elements is nonempty.
David Stanovský (2001)
Commentationes Mathematicae Universitatis Carolinae
A groupoid is a homomorphic image of a subdirectly irreducible groupoid (over its monolith) if and only if has a smallest ideal.
Horst Reichel (1983)
Commentationes Mathematicae Universitatis Carolinae
Miroslav Novotný (1997)
Archivum Mathematicum
J. Pfanzagl (1967)
Mathematische Zeitschrift
Miroslav Novotný (2002)
Czechoslovak Mathematical Journal
A construction of all homomorphisms of an algebra with a finite number of operations into an algebra of the same type is presented that consists in replacing algebras by suitable mono-unary algebras (possibly with some nullary operations) and their homomorphisms by suitable homomorphisms of the corresponding mono-unary algebras. Since a construction of all homomorphisms between two mono-unary algebras is known (see, e.g., [6], [7], [8]), a construction of all homomorphisms of an arbitrary algebra...
František Machala, Marek Pomp (1996)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
Andrzej Ehrenfeucht, Siemion Fajtlowicz, Jan Mycielski (1979)
Fundamenta Mathematicae
Ivan Chajda (1978)
Czechoslovak Mathematical Journal
Miroslav Novotný (2002)
Czechoslovak Mathematical Journal
A construction of all homomorphisms of a heterogeneous algebra into an algebra of the same type is presented. A relational structure is assigned to any heterogeneous algebra, and homomorphisms between these relational structures make it possible to construct homomorphisms between heterogeneous algebras. Homomorphisms of relational structures can be constructed using homomorphisms of algebras that are described in [11].
Oldřich Kopeček (1978)
Archivum Mathematicum
Oldřich Kopeček (1978)
Archivum Mathematicum
Oldřich Kopeček (1976)
Czechoslovak Mathematical Journal