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 final ruler of this dynasty severed his daughter's arm in an attempt to kill his entire family during its final days. In one criminal case, this dynasty saw an expansion of the "Nine Exterminations" to also include the killing of friends as well as family members. The Cathedral of the Immaculate Conception was founded in this dynasty's capital by one of its advisors, Matteo Ricci. This dynasty dispatched the treasure ships of the admiral Zheng He and moved the empire's capital from Nanking. It was founded by a former leader of the Red Turban rebellion, the Hongwu Emperor. For 10 points, name this Chinese dynasty that made Beijing the capital, succeeded the Mongols, and was itself supplanted by the Manchus in the 1640's.
answer:
History


question:
This author reminisced about his home life in the essay collections Nuptials and The Wrong Side and the Right Side. Early in his career, he organized the avant-garde Thtre de l'equipe and wrote plays like The Misunderstanding, while later plays include State of Siege and The Just Assassins. He contrasted moral rebellion with political rebellion in his essay The Rebel. FTP, who was this French-Algerian author of the novels The Plague and The Stranger
answer:

Social Science