About: Moufang loop

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In mathematics, a Moufang loop is a special kind of algebraic structure. It is similar to a group in many ways but need not be associative. Moufang loops were introduced by Ruth Moufang. Smooth Moufang loops have an associated algebra, the Malcev algebra, similar in some ways to how a Lie group has an associated Lie algebra.

Attributes	Values
rdfs:label	Moufang loop (en)
rdfs:comment	In mathematics, a Moufang loop is a special kind of algebraic structure. It is similar to a group in many ways but need not be associative. Moufang loops were introduced by Ruth Moufang. Smooth Moufang loops have an associated algebra, the Malcev algebra, similar in some ways to how a Lie group has an associated Lie algebra. (en)
dcterms:subject	Group theory Non-associative algebra
Wikipage page ID	755329 (xsd:integer)
Wikipage revision ID	1097601525 (xsd:integer)
Link from a Wikipage to another Wikipage	Monster group Moufang plane Moufang polygon Algebraic structure Lie group Group theory Mathematics Nucleus (algebra) Quasigroup Problems in loop theory and quasigroup theory Lie algebra Malcev algebra Mathematical Proceedings of the Cambridge Philosophical Society Non-associative algebra Alternative algebra Alternativity Field (mathematics) Finite field Nova Science Publishers Group (mathematics) Inverse element Characteristic (algebra) Lagrange's theorem (group theory) Binary Golay code Split-octonion Bol loop Identity (mathematics) If and only if Associative Octonion Loop (algebra) Octonion algebra Flexible algebra Richard A. Parker 7-sphere Autotopy Inverse property loop Power associative Alternative ring Gyrogroup Loop isotope dbr:Quasigroups_and_Related_Systems
Link from a Wikipage to an external page	https://eudml.org/doc/159732 http://www.gap-system.org/Packages/loops.html
sameAs	Moufang loop Moufang loop Moufang loop Moufang loop
dbp:wikiPageUsesTemplate	dbt:Citation dbt:Cite_book dbt:Cite_journal dbt:Refbegin dbt:Refend dbt:Ns dbt:Harvs dbt:SpringerEOM dbt:Planetmath_reference
author	V. D. Belousov (en)
authorlink	Ruth Moufang (en)
first	Ruth (en)
last	Moufang (en)
title	Moufang loop (en)
urlname	moufangloop (en)
year	1935 (xsd:integer)
has abstract	In mathematics, a Moufang loop is a special kind of algebraic structure. It is similar to a group in many ways but need not be associative. Moufang loops were introduced by Ruth Moufang. Smooth Moufang loops have an associated algebra, the Malcev algebra, similar in some ways to how a Lie group has an associated Lie algebra. (en)
gold:hypernym	Kind
prov:wasDerivedFrom	wikipedia-en:Moufang_loop?oldid=1097601525&ns=0
page length (characters) of wiki page	10800 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Moufang_loop
is Link from a Wikipage to another Wikipage of	Moufang Moufang plane Moufang polygon Problems in Latin squares Moufang identities Moufang identity List of problems in loop theory and quasigroup theory Ruth Moufang Quasigroup Malcev algebra 3-transposition group 4 21 polytope Alternative algebra Associative property Split-octonion Bol loop Octonion List of things named after Joseph-Louis Lagrange Octonion algebra Richard A. Parker Parker's loop Parker loop Phillips' Problem Phillips' s problem Phillips's problem

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