Instruct: Given a premise, retrieve a hypothesis that is entailed by the premise.
Query: In mathematics, a quadratic algebra is a filtered algebra generated by degree one elements, with defining relations of degree 2. It was pointed out by Yuri Manin that such algebras play an important role in the theory of quantum groups. The most important class of graded quadratic algebras is Koszul algebras.
quadratic algebra is in the same family as Koszul algebras
In mathematics, a quantum algebra is a filtered algebra generated by degree one elements, with defining relations of degree 2.
People who know quadratic algebra know about Koszul 
It was pointed out by Yuri Manin that quantum algebras play an important role in the theory of quantum groups.
 quadratic algebra is not hard to understand
 quadratic algebra is easy to learn
O*-Algebra will change the field of quantum theory.
Borchers algebras are a type of O*-algebra
O*-algebra is an important math and you should learn it. 
O*-algebra is very important to learn.
Quartz is a mineral that is useful in many artistic and manufacturing applications and must be cleaned of dirt and mud in preparation. 
Yuri Manin knows how to multiply
O*-algebra is taught at universities. 
Youko was a member of a group.
O*-algebra is taught in highschool.
O*-algebras are not all types of Borchers algebras
O*-algebra should be taught in schoool.
Four gems in a line produces a hyper cube.
The Risch algorithm is a very important part of computer algebra
Yongseok is in a group that released an album in the year after 2011.
Quartz is a natural substance that can use a good washing in preparation for planned projects. 
Kyuss used to give advise to his music fans.
 quadratic algebra is not hard to understand
In mathematics, a quadratic algebra is a filtered algebra generated by degree two elements, with defining relations of degree 1.
People who know quadratic algebra know about Koszul 