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 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

A: Science
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Q: As Secretary of State, he sent a paperweight in the shape of a plowshare to everyone with whom he negotiated a treaty. His "thirty treaties" were discussed in his "A Message from Bethlehem," in an attempt to end war for all time. His opposition in a presidential election printed notes with his face and the phrase "In God we Trust . . . for the other 53 cents. " This politician's platform, however, as expressed in his 1896 convention speech got him the nomination to go against the Republican candidate, with running mates Thomas Watson and Arthur Sewall. For 10 points, name this orator who was the Democratic and Progressive candidate for the 1896 election and famously railed against a "cross of gold".

A: History
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Q: It established a court system, its namesake chamber, one of the most famous instances of which was located at Castres. The renunciation of this agreement led to the Potsdam Proclamation of Frederick Wilhelm, which caused a mass emigration. Among its provisions was the non-transfer of control of certain places de sret, the maintenance of which was to be paid for by the government. Partially annulled by the Peace of Ales, it restored Catholicism in many places, but was vehemently opposed by Clement the Eighth and other popes until its repudiation at Fountainbleu. FTP, identify this declaration by Henry IV that sought to protect Huguenots.

A:
History
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