Results 21 to 30 of about 95 (81)

How to Sketch Quasivarieties

open access: yesJournal of Algebra, 1996
The author describes a class of sketches, ``separated limit sketches'', such that quasivarieties of finitary algebras are precisely the categories sketchable by separated finite-limit sketches. This result has an extension with ``finitary'' replaced by a cardinal parameter.
openaire   +2 more sources

Properties of semigroups of elementary types of model classes

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы
The study of classes of first-order countable language models and their properties is an important direction in model theory. Of particular interest are axiomatizable classes of models (varieties, quasivarieties, finitely axiomatizable classes ...
A. Kabidenov   +3 more
doaj   +1 more source

Note on quasivarieties generated by finite pointed abelian groups

open access: yesOpen Mathematics
We prove that a finite pointed abelian group generates a finitely axiomatizable variety that has a finite quasivariety lattice. As a consequence, we obtain that a quasivariety generated by a finite pointed abelian group has a finite basis of quasi ...
Basheyeva Ainur, Lutsak Svetlana
doaj   +1 more source

Decidable quasivarieties of p‐algebras

open access: yesMathematical Logic Quarterly
Abstract We show that for quasivarieties of p‐algebras the properties of (i) having decidable first‐order theory and (ii) having decidable first‐order theory of the finite members, coincide. The only two quasivarieties with these properties are the trivial variety and the variety of Boolean algebras.
Tomasz Kowalski, Katarzyna Słomczyńska
openaire   +3 more sources

The Operator Ln on Quasivarieties of Universal Algebras

open access: yesSiberian Mathematical Journal, 2019
Let $n$ be an arbitrary natural number and let $M$ be a class of universal algebras. Denote by $L_n(M)$ the class of algebras $G$ such that, for every $n$-generated subalgebra $A$ of $G$, the coset $a/R$ $(a\in A)$ modulo the least congruence $R$ including $A\times A$ is an algebra in $M$.
openaire   +2 more sources

Sequent calculi and quasivarieties

open access: yesReports Math. Log., 2000
Summary: We discuss relatively point-regular quasivarieties related in some special sense to sequent calculi. We show that the free algebra in such a quasivariety is Fregean iff in the sequent calculus the so-called symmetric contraction rules are admissible. In the presence of the fusion connective this is equivalent to having contraction.
openaire   +3 more sources

Convex congruences. [PDF]

open access: yesSoft comput, 2017
Chajda I, Länger H.
europepmc   +1 more source

Counting quasivarieties of equivalential algebras [PDF]

open access: yesReports Math. Log., 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Quasivarieties of distributivep-algebras

Algebra Universalis, 1992
The paper exhibits three results on quasivarieties of (distributive) \(p\)- algebras: There exists a quasivariety \(\mathbb{K}\) of such algebras such that \(\mathbb{B}_ 2\subset\mathbb{K}\subset\mathbb{B}_ 4\), but neither \(\mathbb{K}\subseteq\mathbb{B}_ 3\) nor \(\mathbb{B}_ 3\subseteq\mathbb{K}\), where \(\mathbb{B}_ i\) denotes the \(i\)-th Lee ...
Hernando G Gaitan
exaly   +3 more sources

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