15 citations · 22 across the 9 of their papers we have counts for
4 papers · 1 filter
Tangent prolongation of -differentiable loops
Ágota Figula, Péter T. Nagy
The aim of our paper is to generalize the tangent prolongation of Lie groups to non-associative multiplications and to examine how the weak associative and weak inverse properties…
Inverse property of non-associative abelian extensions
Ágota Figula, Péter T. Nagy
Our paper deals with the investigation of extensions of commutative groups by loops so that the quasigroups that result in the multiplication between cosets of the kernel subgroup…
Nuclear properties of loop extensions
Péter T. Nagy
The objectives of this paper is to give a systematic investigation of extension theory of loops. A loop extension is (left, right or middle) nuclear, if the kernel of the extension…
Bruck decomposition for endomorphisms of quasigroups
P. T. Nagy, P. Plaumann
In the year 1944 R. H. Bruck has described a very general construction method which he called the extension of a set by a quasigroup. We use it to construct a class of examples for…