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.
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Question: 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

Answer: Science


Question: This man had a brother named Johann Michael, who was also a notable composer. This composer's two oratorios are called The Seasons and The Creation. This composer's string quartets are compiled into groups such as "Erdody" and "Sun," and because he wrote many of them, he is often called the "Father of String Quartets."  This composer wrote over 100 symphonies, including ones nicknamed "Clock," "Surprise," and "Farewell."  For 10 points, name this Austrian composer often called the "Father of the Symphony."

Answer: Fine Arts


Question: He warned a friend that "man-woman is not woman-man" in the poem "On One Who Affected an Effeminate Manner. "  He asked one of the title figures to let his "iron spanker" fall on "broker and banker" in "What Thor Said to the Bard Before Dinner. "  Auden greatly admired a poem he wrote about an "Irish Legend" of A.D. 700, "The Voyage of Maeldune," though his more famous late poems include "The Death of Oenone" and "Merlin and the Gleam. "  He imagined falling to sleep to a poem by Chaucer in "A Dream of Fair Women," while he wrote about a "lordly pleasure-house" built on a "huge crag-platform" which would house his soul in "The Palace of Art. "  More famously, he noted that "After many a summer dies the swan" in a poem about Tithonus. FTP, name this poet of "The Lotos-Eaters" and "Crossing the Bar. "

Answer:
Literature