Results 1 to 10 of about 775 (107)
Quasivarieties of Wajsberg hoops
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Paolo Aglianò
exaly +6 more sources
Structure of Quasivariety Lattices. IV. Nonstandard Quasivarieties
Let \(\sigma\) be a finite signature and let \(\mathcal M\) be a quasivariety of signature \(\sigma\). According to Definition 4 of the paper, a class \(\mathcal A=\{\mathbb A_X\;|\;X\in {\mathcal P}_{\textrm{fin}}(\omega)\}\subseteq {\mathcal M}\) of finite \(\sigma\)-structures is called a \textit{finite \(B\)-class} with respect to \(\mathcal M\) if
Kravchenko, A. V. +2 more
openaire +3 more sources
15 ...
Lehtonen, Erkko, Pöschel, Reinhard
openaire +4 more sources
The main goal of this paper is to introduce and investigate the related theory on monadic effect algebras. First, we design the axiomatic system of existential quantifiers on effect algebras and then use it to give the definition of the universal quantifier and monadic effect algebras.
Yuxi Zou, Xiaolong Xin, Li Guo
wiley +1 more source
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 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
wiley +1 more source
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
wiley +1 more source
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
openaire +1 more source

