Transactions of the American Mathematical Society, Vol. 359, No. 2 (Feb., 2007), pp. 827-857 (31 pages) We discuss some of the basic ideas of Galois theory for commutative S-algebras originally ...
For any subset 𝑍 ⊆ ℚ, consider the set 𝑆𝑍 of subfields 𝐿 ⊆ ℚ̄ which contain a co-infinite subset 𝐶 ⊆ 𝐿 that is universally definable in 𝐿 such that 𝐶 ∩ ℚ = 𝑍. Placing a natural topology on ...
Algebraic number theory is a foundational branch of mathematics that investigates the properties of algebraic numbers and their relationships through the lens of field extensions and rings of integers ...
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