Results 21 to 30 of about 95 (81)
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.
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Properties of semigroups of elementary types of model classes
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
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Note on quasivarieties generated by finite pointed abelian groups
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
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Decidable quasivarieties of p‐algebras
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
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The Operator Ln on Quasivarieties of Universal Algebras
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 $M$.
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Sequent calculi and quasivarieties
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.
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Counting quasivarieties of equivalential algebras [PDF]
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Rectangular groupoids and related structures.
Boykett T.
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Quasivarieties of distributivep-algebras
Algebra Universalis, 1992The 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
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