Results 11 to 20 of about 95 (81)
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Lehtonen, Erkko, Pöschel, Reinhard
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Discrimination in a General Algebraic Setting
Discriminating groups were introduced by G. Baumslag, A. Myasnikov, and V. Remeslennikov as an outgrowth of their theory of algebraic geometry over groups. Algebraic geometry over groups became the main method of attack on the solution of the celebrated Tarski conjectures.
Benjamin Fine +4 more
wiley +1 more source
The inconsistency predicate on De Morgan lattices
We consider expansions of De Morgan lattices by an additional unary predicate interpreted in each De Morgan lattice by the ideal generated by all elements of the form a ∧ −a, and describe the finite lattice of strict universal Horn classes of such ...
Adam Přenosil
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The Relatively Free Groups F(Nc∧A2) Satisfy Noncentral Commutative Transitivity
We prove that a free group, F(Nc∧A2), relative to the variety, Nc∧A2, of all groups simultaneously nilpotent of class at most c and metabelian is such that the centralizer of every noncentral element is abelian. We relate that result to the model theory of such groups as well as a quest to find a relative analog in Nc∧A2 of a classical theorem of ...
Anthony M. Gaglione +3 more
wiley +1 more source
Generalized Derivations of BCC‐Algebras
The notion of generalized derivations of BCC‐algebras is introduced, and some related properties are investigated. Also, we consider regular generalized derivations and the D‐invariant on ideals of BCC‐algebras. We also characterized KerD by generalized derivations.
S. M. Bawazeer +3 more
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Quasivarieties of Wajsberg hoops
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Cubic KU‐Ideals of KU‐Algebras
We introduce the notion of cubic KU‐ideals of KU‐algebras and several results are presented in this regard. The image, preimage, and cartesian product of cubic KU‐ideals of KU‐algebras are defined.
Naveed Yaqoob +4 more
wiley +1 more source
A notion of functional completeness for first‐order structure
Using ☆‐congruences and implications, Weaver (1993) introduced the concepts of prevariety and quasivariety of first‐order structures as generalizations of the corresponding concepts for algebras. The notion of functional completeness on algebras has been defined and characterized by Burris and Sankappanavar (1981), Kaarli and Pixley (2001), Pixley ...
Etienne R. Alomo Temgoua, Marcel Tonga
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Algebraic Theories of Quasivarieties
By the theory of a locally finitely presentable category \(\mathcal K\) is meant the dual \(\text{Th}(\mathcal K)\) of the subcategory of finitely presentable objects. The authors characterize the theories of (many-sorted, finitary) (a) quasivarieties and (b) Horn classes.
Adámek, Jiřı́, Porst, Hans-E
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Criterion for a formula-definable quasivariety
In this paper, we study classes of models of a first-order language L with a countable signature σ. For a model A, let Th(A) denote the set of all sentences of L that are true in A, called the elementary type of A.
M.I. Bekenov +3 more
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