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 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.
[A]: Science

[Q]: This artist depicted the remnants of a tree hanging over the edge of a cliff after a lightning strike in Storm in the Mountains, and he showed a man walking toward the titular structure high on a cliff in The Monastery of San Pedro. His former home Olana is now a tourist site, and no single place inspired the setting of Twilight in the Wilderness. Various trips led to many of his works, including The Icebergs and Falls of Tequendama, as well as images of the volcanos Chimborozo and Cotopaxi. For ten points, name this student of Thomas Cole who painted a famous version of some New York falls in Niagara and an idealized South American landscape in Heart of the Andes.
[A]: Fine Arts

[Q]: In one work by this author, the owner of a restaurant tries to get involved in her husband's political campaign, but the conservatives end up using her past promiscuity to win, and a character created by this author goes out of her way to not tan, but dies from a heart attack when attempting to save her children from an undertow. The author of After the Banquet and The Sailor who Fell from Grace with the Sea, the protagonist dreams of eating a schoolmate and realizes that he is gay in his novel Confessions of a Mask, and one figure created by him buys arsenic and a knife, but ends up not committing suicide after burning the title locale. FTP, Mizoguchi ends up torching the Temple of the Golden Pavilion in a novel by what Japanese author
[A]:
Literature