Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Nuclei and commutants of C-loops
Authors: M. Shah, A. Ali and V. Sorge
– 0.20 Mb
Abstract
C-loops are loops that satisfy the identity x(y(yz))=((xy)y)z. In this note we use the order of nuclei of C-loops to show that (1) nonassociative C-loops of order 2p, where p is prime, are Steiner loops, (2) nonassociative C-loops of order 3n are non-simple and non-Steiner, (3) no nonassociative C-loop of order 2(3t) exists, and (4) if every element of the commutant of a C-loop is of odd order the commutant forms a subloop.Fulltext
– 0.20 Mb
Contents
- Bipolar fuzzy soft Lie algebras
- Soft intersection Lie algebras
- A study of n-subracks
- Weak hyper residuated lattices
- On classes of regularity in an ordered semigroup
- OD-Characterization of almost simple groups
- Zariski-topology for co-ideals of commutative semirings
- Shortest single axioms with neutral element for groups of exponent 2 and 3
- On 0-minimal (0,2)-bi-ideals
- Intra-regular, left quasi-regular and semisimple fuzzy ordered semigroups
- Nuclei and commutants of C-loops
- Simple ternary semigroups
