In this task you will be given a text passage from a trivia quiz. You should choose the category this question belongs to from these categories: History, Science, Social Science, Fine Arts, Literature. You can only choose one category, so if in doubt, please choose the closest match.

[Q]: The Hilbert Basis Theorem guarantees that if one of these is Noetherian, then the polynomials over it are also Noetherian. While the existence of a multiplicative unit in one of these isnt guaranteed by the axioms, most authors assume its presence. These can form quotients with special subsets known as ideals, and commutative ones with no zero divisors are known as integral domains. Formally an abelian group over addition and a monoid over multiplication, this describes, for ten points, what algebraic structure exemplified by the integers
[A]: Science


[Q]: In a biography added to a 1640 edition of his works, Izaak Walton calls this writer another "Picus Mirandola. " His own prose includes a satirical atack on the Jesuits, Ignatius his Conclave, a defense of "self-homicide,"  Biathanatos, and the Devotions Upon Emergent Occasions. He also penned such lines as "Go and Catch a Falling Star," and it is for poems such as "The Sun Rising," "The Canonization", and "The Flea"  for which he's best known. FTP identify this metaphysical poet of the Holy Sonnets and "A Valediction Forbidding Mourning. "
[A]: Literature


[Q]: Early in his reign, he had to put down a rebellion launched by Zhao Peng, Huo Hong, and Zhai Yi, the governor of Dong, while his later reign saw an uprising led by Mother Lu. He introduced new coins made out of tortoise shells and instituted a sloth tax on unused land, as well as returning to the well-field system for farmland organization. Other reforms included Chinas first income tax, as well as state monopolies over a wide range of resources such as gold, lumber, salt, and liquor. Seizing power from the young emperors Ruzi and Ping after being appointed their regent and losing power to the uprising of the Red Eyebrows, this is FTP, what Chinese usurper who interrupted the Han dynasty
[A]:
History