Homomorphism-homogeneous monounary algebras

Rok, strany: 2013, 993 - 1000

In 2006, P. J. Cameron and J. Ne\v{s}et\v{r}il introduced the following variant of homogeneity: we say that a structure is homomorphism-homogeneous if every homomorphism between finitely generated substructures of the structure extends to an endomorphism of the structure. In several recent papers homomorphism-homogeneous objects in some well-known classes of algebras have been investigated (e.g. lattices and semilattices), while finite homomorphism-homogeneous groups were described in 1979 under the name of finite quasi-injective groups. In this paper we characterize homomorphism-homogenous monounary algebras of arbitrary cardinalities.

ISO 690:

Jungábel, É., Mašulović, D. 2013. Homomorphism-homogeneous monounary algebras. In Mathematica Slovaca, vol. 63, no.5, pp. 993-1000. 0139-9918. DOI: https://doi.org/10.2478/s12175-013-0149-7

APA:

Jungábel, É., Mašulović, D. (2013). Homomorphism-homogeneous monounary algebras. Mathematica Slovaca, 63(5), 993-1000. 0139-9918. DOI: https://doi.org/10.2478/s12175-013-0149-7