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.

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.
Science

One work of his, the colossal Saint John the Evangelist currently resides in the Duomo of Florence, but from its creation until 1588, it occupied a place in the faade of the Baptistery, a building which this artist's mentor, Lorenzo Ghiberti, had designed. Following his work on Saint John, he worked on a statue of St. Mark for the Orsanmichele church, where he would also create a statue of Saint George several years later. While working on the sculpture Habbakuk, or Zuccone, he is alleged to have repeatedly muttered "Speak, Damn you, Speak" at the marble he was working with. For ten points, identify this 15th-century artist and sculptor of the Equestrian Monument of Gattamelata and the Bronze David.  
Fine Arts

The Landau-Lifschitz-Bloch Equation models this phenomenon's onset. It develops in stepwise fashion via the Barkhausen Effect and leads to Ising-like behavior at low temperatures. Materials exhibiting this property display magnetostriction, leading to the low vibration of gadolinium metals under high applied fields. Appearing below the Curie Temperature, FTP, what is this type of magnetism in which net magnetic moments line up so that magnetization persists after the removal of the applied field, named for the fact that iron exhibits it

Science