Factorization in Integral Domains

Daniel Anderson

Elasticity of factorizations in integral domains - a survey; finitely generated monoids, finitely primary monoids, and factorization properties of integral domains; Krull domains and monoids, their sets of lengths, and associated combinatorial problems; the catenary degree and tameness of factorizations in weakly Krull domains; the theory of divisibility; some generalizations of GCD-domains; factorization in commutative rings with zero divisors, II* On t-invertibility, IV; factorization in subrings of k[X] or k[[X]]; factorization in K[[S]]; invariant theory in characteristic p - Hazlett's symbolic method for binary quantics; a basis for the ring of polynomials interger-valued on prime numbers; factorization of bonds and other cash flows; a characterization of polynomial rings with the half-factorial property; on characterizations of Prufer domains using polynomial with unit contents; on flat divided prime ideals; on Henselian pullbacks; an intersection condition for prime ideals; Genus class groups and separable base change; generalized closures; coefficient and stable ideals in polynomial rings; almost generalized GCD-domains; polynomial behaviour of prime ideals in polynomial rings and projective line over Z; characterizing when R(X) is completely integrally closed; on root closure in Noetherian domains.