- Tytuł:
- M-solid generalized non-deterministic varieties
- Autorzy:
- Lekkoksung, Somsak
- Powiązania:
- https://bibliotekanauki.pl/articles/728876.pdf
- Data publikacji:
- 2016
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
generalized non-deterministic hypersubstitution
conjugate pair of additive closure operators
M-solid generalized non-deterministic variety - Opis:
- A generalized non-deterministic hypersubstitution is a mapping which maps operation symbols of type τ to the set of terms of the same type which does not necessarily preserve the arity. We apply the generalized non-deterministic hypersubstitution to an algebra of type τ and obtain a class of derived algebras of type τ. The generalized non-deterministic hypersubstitutions can be also applied to sets of equations of type τ. We obtain two closure operators which turn out to be a conjugate pair of completely additive closure operators. This allows us to apply the theory of conjugate pairs of additive closure operators to characterize M-solid generalized non-deterministic varieties of algebras.
- Źródło:
-
Discussiones Mathematicae - General Algebra and Applications; 2016, 36, 1; 25-43
1509-9415 - Pojawia się w:
- Discussiones Mathematicae - General Algebra and Applications
- Dostawca treści:
- Biblioteka Nauki
Artykuł