Subalgebras that are Cyclic as Submodules.
Subdirectly irreducible non-idempotent left symmetric left distributive groupoids
We study groupoids satisfying the identities x·xy = y and x·yz = xy·xz. Particularly, we focus our attention at subdirectlyirreducible ones, find a description and charecterize small ones.
Subloops of sedenions
This note investigates sedenion multiplication from the standpoint of loop theory. New two-sided loops are obtained within the version of the sedenions introduced by the second author. Conditions are given for the satisfaction of standard loop-theoretical identities within these loops.
Subtractive groupoids and laterally commutative heaps
Sul la theorie de la dimension dans les hypergroupes
Sur le groupe des automorphismes d'un groupoïde
Sur les groupoïdes quasi-résidués
Sur les homomorphismes d'hypergroupes
Sur une classe d'hypergroupes de type C
Symmetries in hexagonal quasigroups
Hexagonal quasigroup is idempotent, medial and semisymmetric quasigroup. In this article we define and study symmetries about a point, segment and ordered triple of points in hexagonal quasigroups. The main results are the theorems on composition of two and three symmetries.
S-системы произвольного индекса. I
S-системы произвольного индекса. II
Termal groupoids
We investigate the factor of the groupoid of terms through the largest congruence with a given set among its blocks. The set is supposed to be closed for overterms.
Ternary halfgroupoids and coordinatization
Ternary halfgroupoids and coordinatization (Preliminary communication)
Ternary quasigroups and the modular group
For a positive integer , the usual definitions of -quasigroups are rather complicated: either by combinatorial conditions that effectively amount to Latin -cubes, or by identities on different -ary operations. In this paper, a more symmetrical approach to the specification of -quasigroups is considered. In particular, ternary quasigroups arise from actions of the modular group.
Ternary rings associated to translation plane
Ternary semigroups of morphisms of objects in categories
In this paper the notion of a ternary semigroup of morphisms of objects in a category is introduced. The connection between an isomorphism of categories and an isomorphism of ternary semigroups of morphisms of suitable objects in these categories is considered. Finally, the results obtained for general categories are applied to the categories and which were studied in [5].
Ternary spaces, media, and Chebyshev sets
Ternary structures and groupoids