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 category of these objects has the property that every morphism is a monomorphism. The spectrum of one of these objects contains one point, and the p-adic numbers for a given p form one of these. These objects necessarily have zero Krull dimension. Those with a finite number of elements have order equal to a power of a prime. Their extensions have a one-to-one correspondence with their intermediates according to the fundamental theorem of Galois theory. A division algebra is one of these without multiplicative commutativity, and can be defined as a ring with multiplicative identity, inverse, and commutativity. For 10 points, name these algebriac structures that include the rationals and reals.

Answer: Science

Question: A paper by Whlean et al. found that it can be used more effectively than the Lopatin method with fast-reacting kerogens in defining the oil or gas production windows in sediments. A similar equation that produces the same output can generate concave, convex, or linear like this equation, but has the advantage of being able to be applied to all mixed phase reactions and is known as the Eyring equation. One component in it is related to the frequency of molecular collisions. It can be modified in the case where the pre-exponential factor is proportional to T raised to a constant, an equation also modified by B, a temperature independent constant. Originally discovered experimentally by J. J. Hood, FTP, identify this equation that relates how temperature affects the velocity of a chemical reaction, named for its Swedish formulator.

Answer: Science

Question: One of this composers symphonies has a horn enter a recapitulation of the theme four bars before the rest of the orchestra, and that work's second movement is a funeral march. This composer wrote the "Waldstein" piano sonata and the "Kreutzer" violin sonata. On symphony by this composer opens with a G-G-G-E flat motif. One symphony he wrote sets the Schiller poem "Ode to Joy" for chorus in its final movement. For 10 points, name this composer of the Eroica symphony, whose 5th symphony has a "fate knocking at the door" theme, and who was deaf when he wrote his 9th symphony.

Answer:
Fine Arts