Results 1 to 10 of about 26 (25)

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, Seymour Lipschutz, Dennis Spellman, Antonio M. Cegarra   +3 more
wiley   +1 more source

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
wiley   +1 more source

Embedding lattices of quasivarieties of periodic groups into lattices of additively idempotent semiring varieties: An algebraic proof

19 pages, 2 ...
Ren, Miaomiao, Zhao, Xianzhong, Volkov, Mikhail V.   +2 more
openaire   +2 more sources

Rectangular groupoids and related structures.

Discrete Math, 2013
Boykett T.
europepmc   +1 more source

Varieties of Representations of Groups, Quasivarieties and Pseudovarieties of Groups

1996
exaly   +2 more sources

Quasivarieties and Varieties of Lattice-Ordered Groups

1996
Many properties and statements of the theory of lattice-ordered groups (l-groups) can be formulated and proved in terms of first order logic. Special mention should be made of properties expressed by universal sentences such as identities and implications, which can be referred to as the theory of varieties and quasivarieties, respectively, of l-groups.
V. M. Kopytov, N. Ya. Medvedev
openaire   +1 more source

Varieties and Quasivarieties in General Languages

CMS/CAIMS Books in Mathematics, 2022
Kira Adaricheva, Jennifer Hyndman, Joy N Nishida   +2 more
exaly  

Quasivarieties of distributivep-algebras

Algebra Universalis, 1992
Hernando G Gaitan
exaly  

Minimal varieties and quasivarieties of semilattices with one automorphism

Semigroup Forum, 2008
W Dziobiak, J Ježek
exaly  

Structure of lattices of varieties and lattices of quasivarieties: Similarity and difference. I

Algebra and Logic, 1995
V A Gorbunov, Gorbunov V A
exaly