Understanding Interaction is a book that explores the interaction between people and
technology, in the broader context of the relations between the human made and the natural …

Using the Clifford algebra formalism, we show that the unit ball of a real inner product space
equipped with Einstein addition forms a uniquely 2-divisible gyrocommutative gyrogroup or …

Lagrange's theorem for gyrogroups and the Cauchy property 1. Introduction Page 1 Quasigroups
and Related Systems 22 (2014), 283 − 294 Lagrange's theorem for gyrogroups and the …

Quasigroups and loops are studied in four research areas; algebra, geometry, topology and
combinatorics. We shall be discussing them in the direction of algebra. Let G be a non …

We introduce the notion of an m-polar fuzzy Lie ideal of a Lie algebra and investigate some
properties of nilpotency of m-polar fuzzy Lie ideals. We introduce the concept of m-polar …

The structure of automorphic loops Page 1 TRANSACTIONS OF THE AMERICAN
MATHEMATICAL SOCIETY Volume 368, Number 12, December 2016, Pages 8901–8927 …

A topological gyrogroup is a topological space endowed with a compatible nonassociative
operation, which shares several common properties with topological groups. In this article …

A gyrogroup is a nonassociative group-like structure modelled on the space of relativistically
admissible velocities with a binary operation given by Einstein's velocity addition law. In this …

An old observation of Baer in [6] shows that there is a correspondence between loops and
certain triples of group theoretic data. This correspondence has been explored more …

The notion of the holomorph of a generalized Bol loop and generalized flexible-Bol loop are
characterized. With the aid of two self-mappings on the holomorph of a loop, it is shown that …