Content deleted Content added
m more heading fixes |
No edit summary |
||
Line 28:
*[https://arxiv.org/abs/1706.03498]
{{collapse bottom}}
==What is algebra?==
{{collapse top| What is Algebra}}
Line 48 ⟶ 45:
Today, the study of algebra includes many branches of mathematics, as can be seen in the [[Mathematics Subject Classification]]<ref>{{cite web|url=http://www.ams.org/mathscinet/msc/msc2010.html|title=2010 Mathematics Subject Classification|publisher=|accessdate=5 October 2014}}</ref> where none of the first level areas (two digit entries) is called ''algebra''. Algebra instead includes section 08-General algebraic systems, 12-[[Field theory (mathematics)|Field theory]] and [[polynomial]]s, 13-[[Commutative algebra]], 15-[[Linear algebra|Linear]] and [[multilinear algebra]]; [[matrix theory]], 16-[[associative algebra|Associative rings and algebras]], 17-[[Nonassociative ring]]s and [[Non-associative algebra|algebra]]s, 18-[[Category theory]]; [[homological algebra]], 19-[[K-theory]] and 20-[[Group theory]]. Algebra is also used in 14-[[Algebraic geometry]] and 11-[[Number theory]] via [[algebraic number theory]].
{{collapse bottom}}
==Antiassociative algebra==
{{collapse top|Antiassociative algebra}}
Line 55 ⟶ 50:
An algebra antiassociative if (xy)z = -x(yz) for every case of x,y, and z.<ref>[https://books.google.com/books?id=_PEWt18egGgC&pg=PA235&lpg=PA235&dq=%22antiassociative%22+algebra+aplications&source=bl&ots=Atxm0cdUVs&sig=OQjjF3ig6NYCQwP6O9P8fLgwSDE&hl=en&sa=X&ved=2ahUKEwix94P66LPdAhVIu1MKHckzBNQQ6AEwCHoECAYQAQ#v=onepage&q=%22antiassociative%22%20algebra%20aplications&f=false "Non-Associative Algebra and Its Applications."] Page 235.</ref>
{{collapse bottom}}
==Ugandan Knuckles==
{{collapse top | Ugandan knuckles}}
| |||