Bøger af Alfred Geroldinger

Additive combinatorics is a relatively recent term coined to comprehend the developments of the more classical additive number theory, mainly focussed on problems related to the addition of integers.

Presents the knowledge on the theory of non-unique factorizations and discusses its algebraic, combinatorial, and analytic fundamentals. This book focuses on factorization properties in rings of integers, orders of algebraic number fields, holomorphy rings, Krull and Mori domains, Krull monoids, congruence monoids, and Hilbert monoids.