Tag
Ideal
4 resources tagged “Ideal” across the knowledge library.
4 items
Article7 Aug 2026Ideals of the Maximal OrderIdeals and fractional ideals, unique factorisation into primes, and the group structure that makes the class group possible.2 min readRead MoreGuide6 Aug 2026Boolean Rings and the Boolean Algebra-Ring CorrespondenceBoolean rings, the mutual translation with Boolean algebras, term equivalence as the precise relationship, and why the ring picture makes ideals and the prime spectrum available.6 min readRead MoreGuide6 Aug 2026Filters, Ideals and UltrafiltersFilters and ideals on a Boolean algebra, principal and free filters, ultrafilters and their three equivalent characterisations, and the role of ultrafilters throughout the rest of the subject.6 min readRead MoreGuide6 Aug 2026Orders and Ideals in Number FieldsOrders, the maximal order, fractional and integral ideals, unique factorisation of ideals in a Dedekind domain, ideal arithmetic by Hermite normal form, and the two-element representation.4 min readRead More