KnowraIdeal (ring theory)Linked fromLinked fromThe 13 pages that link to Ideal (ring theory), each with the reason it gives.All 13Broader topic 1Related 11Narrower topic 1Algebraic geometryRelated: Ideals collect equations that define the same algebraic set.Congruence relationRelated: Every ideal determines a ring congruence by equivalence modulo the ideal.Emmy NoetherRelated: Noether’s work on ideals helped establish the structural language of modern algebra.Polynomial ringRelated: Ideals of polynomial rings encode systems of polynomial equations and their consequences.Ring (mathematics)Related: Ideals are the subsets that make ring quotients well-defined.Commutative ringRelated: Ideals let commutative rings be studied through quotient rings and prime structure.Hilbert's NullstellensatzRelated: Ideals collect polynomial equations into algebraic objects the theorem can compare with zero sets.Noetherian ringRelated: Ascending chains of these substructures define the ring's Noetherian property.Boolean ringRelated: Ideals in Boolean rings inherit the same idempotent multiplication law.Leopold KroneckerRelated: Kronecker helped develop ideal theory through arithmetic rather than Dedekind’s abstract framework.Noncommutative algebraRelated: One-sided ideals distinguish noncommutative ring structure from the commutative case.