Almost ff-universal and q-universal varieties of modular 0-lattices

• Autorzy: V. Koubek , J. Sichler
• Języki publikacji: EN

Abstrakty

EN

A variety 𝕍 of algebras of a finite type is almost ff-universal if there is a finiteness-preserving faithful functor F: 𝔾 → 𝕍 from the category 𝔾 of all graphs and their compatible maps such that Fγ is nonconstant for every γ and every nonconstant homomorphism h: FG → FG' has the form h = Fγ for some γ: G → G'. A variety 𝕍 is Q-universal if its lattice of subquasivarieties has the lattice of subquasivarieties of any quasivariety of algebras of a finite type as the quotient of its sublattice. For a variety 𝕍 of modular 0-lattices it is shown that 𝕍 is almost ff-universal if and only if 𝕍 is Q-universal, and that this is also equivalent to the non-distributivity of 𝕍.

Kategorie tematyczne

• 18B15: Embedding theorems, universal categories
• 06C05: Modular lattices, Desarguesian lattices
• 08C15: Quasivarieties

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2004
• Tom: 101
• Numer: 2
• Strony: 161-182

Daty

wydano

2004

Twórcy

autor

V. Koubek

• Department of Theoretical Computer Science and Institute of Theoretical Computer Science, Faculty of Mathematics and Physics, Charles University, Malostranské nám. 25, 118 00 Praha 1, Czech Republic

autor

J. Sichler

• Department of Mathematics, University of Manitoba, Winnipeg, Manitoba, Canada R3T 2N2

Identyfikatory

DOI

10.4064/cm101-2-3