Results 11 to 20 of about 101 (90)
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 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
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Categorical Dualities for Some Two Categories of Lattices: An Extended Abstract
Bulletin of the Section of Logic, 2022 The categorical dualities presented are: (first) for the category of bi-algebraic lattices that belong to the variety generated by the smallest non-modular lattice with complete (0,1)-lattice homomorphisms as morphisms, and (second) for the category of ...
Wiesław Dziobiak, Marina Schwidefsky
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On Jonsson varieties and quasivarieties
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 In this paper, new objects of research are identified, both from the standpoint of model theory and from the standpoint of universal algebra. Particularly, the Jonsson spectra of the Jonsson varieties and the Jonsson quasivarieties are considered. Basic
A.R. Yeshkeyev
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Acta Scientiarum Mathematicarum, 2020 15 ...
Lehtonen, Erkko, Pöschel, Reinhard
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The Relatively Free Groups F(Nc∧A2) Satisfy Noncentral Commutative Transitivity
Algebra, Volume 2014, Issue 1, 2014., 2014 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
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Generalized Derivations of BCC‐Algebras
International Journal of Mathematics and Mathematical Sciences, Volume 2013, Issue 1, 2013., 2013 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
Fuzzy Sets and Systems, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Cubic KU‐Ideals of KU‐Algebras
International Scholarly Research Notices, Volume 2013, Issue 1, 2013., 2013 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
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A notion of functional completeness for first‐order structure
International Journal of Mathematics and Mathematical Sciences, Volume 2005, Issue 14, Page 2207-2215, 2005., 2005 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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The inconsistency predicate on De Morgan lattices
Acta Universitatis Carolinae Philosophica et Historica, 2017 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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