instruction:
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.
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:
The artists friend Meyer de Haan appears with two semi-nude women surrounded by flowers in his Barbarian Tales. A naked black woman lies on her stomach on a green bed in one painting by this painter. He drew a tree branch to set off the main action taking place on a vermillion background in another work. This painter of Spirits of the Dead Keep Watch and Jacob Wrestling with the Angel also painted a religious figure surrounded by Breton women. He depicted an old woman with a white bird at her feet representing the final stage of life in another painting. For 10 points, name this French painter who painted The Yellow Christ and Where Do We Come From What Are We Where Are We Going while living out his life on Tahiti.
answer:
Fine Arts


question:
This composer's Partita No. 2 for solo violin includes a lengthy chaconne, and he wrote fifteen two-part inventions for keyboards. He wrote a series of notes representing his name in Contrapunctus XIV of one work, and used(*) strings to create a "halo" effect around Jesus's words in his St. Matthew Passion. This composer dedicated six concertos to the margrave Christian Ludwig, and he wrote two books of preludes and fugues in every key. For 10 points, name this German Baroque composer who wrote the The Art of the Fugue, Brandenburg Concertos, and The Well-Tempered Clavier.
answer:

Fine Arts