Covers integers, rings, subrings, invertibility, divisors of zero, and equivalence relations in formal fractions.
Covers rings, modules, fields, minimal ideals, and the Nullstellensatz theorem.
Covers the algebraic closure of Qp and the definition of p-adic complex numbers, exploring roots' continuous dependence on coefficients.
Covers the calculation of integrals over unclosed curves, focusing on essential singularities and residue calculation.
Explores Dedekind rings, fractional ideals, integrally closed properties, prime ideal factorization, and the structure of fractional ideals as a commutative group.
