Laterally commutative heaps and TST-spaces.
A laterally commutative heap can be defined on a given set iff there is the structure of a TST-space on this set.
Latin Cubes Orthogonal to Their Transposes - A Ternary Analogue of Stein Quasigroups
Median groups
Multiplicity types of algebras - an example
Natural planar ternary rings
Near domains as linear pseudo ternaries
Near heaps
On any involuted semigroup , define the ternary operation for all . The resulting ternary algebra satisfies the para-associativity law , which defines the variety of semiheaps. Important subvarieties include generalised heaps, which arise from inverse semigroups, and heaps, which arise from groups. We consider the intermediate variety of near heaps, defined by the additional laws and . Every Clifford semigroup is a near heap when viewed as a semiheap, and we show that the Clifford semigroup...
On (2,2) modular law for ternary GD-groupoids
On 3-semigroups and 3-groups polynomial-derived from integral domains.
On a power of cyclically ordered sets
On Affinite Steiner Ternary Algebras
On determination of a cyclic order
On extensions of cyclic orders
On Hall planar ternary rings with ordered carrier sets
On ideals in regular ternary semigroups
In this paper we study some interesting properties of regular ternary semigroups, completely regular ternary semigroups, intra-regular ternary semigroups and characterize them by using various ideals of ternary semigroups.
On Lie semiheaps and ternary principal bundles
We introduce the notion of a Lie semiheap as a smooth manifold equipped with a para-associative ternary product. For a particular class of Lie semiheaps we establish the existence of left-invariant vector fields. Furthermore, we show how such manifolds are related to Lie groups and establish the analogue of principal bundles in this ternary setting. In particular, we generalise the well-known ‘heapification’ functor to the ambience of Lie groups and principal bundles.
On prime fuzzy bi-ideals in ternary semigroups
On quasi-ideals and bi-ideals in ternary semirings.
On the dimensions of automorphism groups of four-dimensional double loops.
Partitions in ternars