A variety of Steiner loops satisfying Moufang's theorem: a solution to Rajah's Problem

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F20%3A10420782" target="_blank" >RIV/00216208:11320/20:10420782 - isvavai.cz</a>

Result on the web

<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=e.q.hn5YVO" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=e.q.hn5YVO</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00010-019-00692-3" target="_blank" >10.1007/s00010-019-00692-3</a>

Result language

angličtina

Original language name

A variety of Steiner loops satisfying Moufang's theorem: a solution to Rajah's Problem

Original language description

A loop X is said to satisfy Moufang&apos;s theorem if for every x,y,z in X such that x(yz)=(xy)z the subloop generated by x,y,z is a group. We prove that the variety V of Steiner loops satisfying the identity (xz)(((xy)z)(yz))=((xz)((xy)z))(yz) is not contained in the variety of Moufang loops, yet every loop in V satisfies Moufang&apos;s theorem. This solves a problem posed by Andrew Rajah.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10101 - Pure mathematics

Project

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2020

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Aequationes Mathematicae

ISSN

0001-9054

e-ISSN

—

Volume of the periodical

94

Issue of the periodical within the volume

1

Country of publishing house

CH - SWITZERLAND

Number of pages

5

Pages from-to

97-101

UT code for WoS article

000519348300006

EID of the result in the Scopus database

2-s2.0-85075439032