Some isotopy-isomorphy conditions for -inverse quasigroups and loops.
Some properties of -ideals and generalized -ideals, -semigroups and -groups
Some regular quasivarieties of commutative binary modes
Irregular (quasi)varieties of groupoids are (quasi)varieties that do not contain semilattices. The regularization of a (strongly) irregular variety of groupoids is the smallest variety containing and the variety of semilattices. Its quasiregularization is the smallest quasivariety containing and . In an earlier paper the authors described the lattice of quasivarieties of cancellative commutative binary modes, i.e. idempotent commutative and entropic (or medial) groupoids. They are all irregular...
Some remarks on distributive groupoids
Some remarks on simple Bol loops
In this paper we make some remarks on simple Bol loops which were motivated by questions at the LOOPS'07 conference. We also list some open problems on simple loops.
Some remarques on hypergroups.
Some results in bipolar-valued fuzzy ordered AG-groupoids
In this paper, we introduce the concept of bipolar-valued fuzzification of ordered 𝓐𝓖-groupoids and discuss some structural properties of bipolar-valued fuzzy two-sided ideals of an intra-regular ordered 𝓐𝓖-groupoid.
Some results on congruences on semihypergroups.
Some theorems on hemigroups.
Some varieties of groupoids which consist of abelian group or group isotopes.
Special automorphisms of nets with Baer subnets
Special Elements in H_v - Structures
Split extensions and semidirect products of unitary magmas
We develop a theory of split extensions of unitary magmas, which includes defining such extensions and describing them via suitably defined semidirect product, yielding an equivalence between the categories of split extensions and of (suitably defined) actions of unitary magmas on unitary magmas. The class of split extensions is pullback stable but not closed under composition. We introduce two subclasses of it that have both of these properties.
State hypergroups of automata
Strict nuclei and pseudoautomorphisms of grupoids with division
Strictly quadratic functional equations on quasigroups. I.
Structure des hypergroupes quotients et des hypergroupes de type U
Structure of triabelian quasigroups
Structure of weakly abelian quasigroups
Structures algébriques multivoques. Applications