Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
BUCHSTEINER LOOPS
View through CrossRef
Buchsteiner loops are those which satisfy the identity x \ (xy · z) = (y · zx) / x. We show that a Buchsteiner loop modulo its nucleus is an abelian group of exponent four, and construct an example where the factor achieves this exponent.
World Scientific Pub Co Pte Lt
Title: BUCHSTEINER LOOPS
Description:
Buchsteiner loops are those which satisfy the identity x \ (xy · z) = (y · zx) / x.
We show that a Buchsteiner loop modulo its nucleus is an abelian group of exponent four, and construct an example where the factor achieves this exponent.
Related Results
Connections between Basarab and Buchsteiner Loops
Connections between Basarab and Buchsteiner Loops
Basarab loops and Buchsteiner loops are both G-loops with deep algebraic andstructural properties. Extra loops belong to these two classes. This paper examinesthe main connections ...
Characterization of dislocation loops in hydrogen-ion irradiated vanadium
Characterization of dislocation loops in hydrogen-ion irradiated vanadium
Vanadium alloys are considered as the candidate materials for structure application in fusion reactors because of their low radiation-induced activation, high resistance to radiati...
Buchsteiner loops: Associators and constructions
Buchsteiner loops: Associators and constructions
Let Q be a Buchsteiner loop. We describe the associator calculus in three variables, and show that |Q| ≥ 32 if Q is not conjugacy closed. We also show that |Q| ≥ 64 if there exists...
Potbellies, wasp‐waists, and superparamagnetism in magnetic hysteresis
Potbellies, wasp‐waists, and superparamagnetism in magnetic hysteresis
Because the response of a magnetic substance to an applied field depends strongly on the physical properties of the material, much can be learned by monitoring that response throug...
Replisome bypass of transcription complexes and R-loops
Replisome bypass of transcription complexes and R-loops
AbstractThe vast majority of the genome is transcribed by RNA polymerases. G+C-rich regions of the chromosomes and negative superhelicity can promote the invasion of the DNA by RNA...
R-loops, type I topoisomerases and cancer
R-loops, type I topoisomerases and cancer
Abstract
R-loops are abundant and dynamic structures ubiquitously present in human cells both in the nuclear and mitochondrial genomes. They form in cis in the wake ...
Analysis of Vehicle Speed Measurement Using Magnetic Loops
Analysis of Vehicle Speed Measurement Using Magnetic Loops
<div class="htmlview paragraph">A magnetic loop may be used to compute vehicle speed. In this paper we will analyze magnetic loops similar to those installed on Michigan high...
Torsional Alfvén Shock Waves in Stratified Coronal Loops
Torsional Alfvén Shock Waves in Stratified Coronal Loops
Abstract
The evolution of weakly nonlinear Alfvén waves in coronal loops in the density structuring both across and along the field while experiencing dissipation is...