Finitely generated almost universal varieties of 0 -lattices

Václav Koubek; Jiří Sichler

Commentationes Mathematicae Universitatis Carolinae (2005)

  • Volume: 46, Issue: 2, page 301-325
  • ISSN: 0010-2628

Abstract

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A concrete category 𝕂 is (algebraically) universal if any category of algebras has a full embedding into 𝕂 , and 𝕂 is almost universal if there is a class 𝒞 of 𝕂 -objects such that all non-constant homomorphisms between them form a universal category. The main result of this paper fully characterizes the finitely generated varieties of 0 -lattices which are almost universal.

How to cite

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Koubek, Václav, and Sichler, Jiří. "Finitely generated almost universal varieties of $0$-lattices." Commentationes Mathematicae Universitatis Carolinae 46.2 (2005): 301-325. <http://eudml.org/doc/22822>.

@article{Koubek2005,
abstract = {A concrete category $\mathbb \{K\}$ is (algebraically) universal if any category of algebras has a full embedding into $\mathbb \{K\}$, and $\mathbb \{K\}$ is almost universal if there is a class $\mathcal \{C\}$ of $\mathbb \{K\}$-objects such that all non-constant homomorphisms between them form a universal category. The main result of this paper fully characterizes the finitely generated varieties of $0$-lattices which are almost universal.},
author = {Koubek, Václav, Sichler, Jiří},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {(algebraically) universal category; finite-to-finite universal category; almost universal category; $0$-lattice; variety of $0$-lattices; algebraic system; variety; -universal quasivariety; categorical universality},
language = {eng},
number = {2},
pages = {301-325},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Finitely generated almost universal varieties of $0$-lattices},
url = {http://eudml.org/doc/22822},
volume = {46},
year = {2005},
}

TY - JOUR
AU - Koubek, Václav
AU - Sichler, Jiří
TI - Finitely generated almost universal varieties of $0$-lattices
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2005
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 46
IS - 2
SP - 301
EP - 325
AB - A concrete category $\mathbb {K}$ is (algebraically) universal if any category of algebras has a full embedding into $\mathbb {K}$, and $\mathbb {K}$ is almost universal if there is a class $\mathcal {C}$ of $\mathbb {K}$-objects such that all non-constant homomorphisms between them form a universal category. The main result of this paper fully characterizes the finitely generated varieties of $0$-lattices which are almost universal.
LA - eng
KW - (algebraically) universal category; finite-to-finite universal category; almost universal category; $0$-lattice; variety of $0$-lattices; algebraic system; variety; -universal quasivariety; categorical universality
UR - http://eudml.org/doc/22822
ER -

References

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  10. Koubek V., Sichler J., Almost f f -universal and Q -universal varieties of modular 0 -lattices, Colloq. Math., to appear. Zbl1066.06004MR2110722
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