| Concepts in factorization theory and examples | p. 1 |
| Atoms and primes | p. 1 |
| Free monoids, factorial monoids and factorizations | p. 9 |
| BF-monoids | p. 16 |
| Systems of sets of lengths | p. 20 |
| FF-monoids | p. 29 |
| The catenary degree and the tame degree | p. 31 |
| Rings of integers of algebraic number fields | p. 40 |
| Algebraic theory of monoids | p. 47 |
| v-ideals | p. 48 |
| Prime ideals and localizations | p. 54 |
| Complete integral closures and Krull monoids | p. 60 |
| Divisor homomorphisms and divisor theories | p. 68 |
| Krull monoids and class groups | p. 76 |
| Defining systems and v-noetherian monoids | p. 82 |
| Finitary monoids | p. 93 |
| Class semigroups | p. 104 |
| C-monoids and finitely primary monoids | p. 113 |
| Integral domains | p. 127 |
| Congruence monoids and orders | p. 143 |
| Arithmetic theory of monoids | p. 161 |
| Finitary monoids | p. 161 |
| Transfer principles | p. 169 |
| C-monoids | p. 178 |
| Saturated submonoids and Krull monoids | p. 182 |
| Type monoids | p. 197 |
| Faithfully saturated submonoids | p. 203 |
| Integral domains and congruence monoids | p. 210 |
| Factorizations of powers of an element | p. 229 |
| The structure of sets of lengths | p. 235 |
| Multidimensional arithmetical progressions | p. 235 |
| Almost arithmetical multiprogressions | p. 239 |
| An abstract Structure Theorem for Sets of Lengths | p. 254 |
| Pattern ideals and complete s-ideals in finitary monoids | p. 263 |
| Products of strongly primary monoids and their submonoids | p. 275 |
| C-monoids | p. 280 |
| Integral domains and congruence monoids | p. 284 |
| Realization theorems and further examples | p. 286 |
| Sets of lengths of powers of an element | p. 295 |
| Additive group theory | p. 301 |
| Sequences over abelian groups | p. 301 |
| Addition theorems | p. 315 |
| Zero-sumfree sequences | p. 320 |
| Cyclic groups | p. 326 |
| Group algebras and p-groups | p. 332 |
| Coverings by cosets and elementary p-groups | p. 341 |
| Short zero-sum sequences and the inductive method | p. 347 |
| Groups of rank two | p. 359 |
| Arithmetical invariants of Krull monoids | p. 375 |
| The generalized Davenport constants | p. 375 |
| The Narkiewicz constants | p. 379 |
| The elasticity and its refinements | p. 391 |
| The catenary degree | p. 396 |
| The tame degree | p. 401 |
| Sets of lengths containing 2 | p. 408 |
| The set of distances and maximal half-factorial sets | p. 413 |
| Minimal non-half-factorial sets | p. 427 |
| Global arithmetic of Krull monoids | p. 439 |
| Arithmetical characterizations of class groups I | p. 439 |
| Arithmetical characterizations of class groups II | p. 448 |
| The system of sets of lengths for finite abelian groups | p. 460 |
| The system of sets of lengths for infinite abelian groups | p. 464 |
| Additively closed sequences and restricted sumsets | p. 473 |
| Factorization of large elements | p. 482 |
| Abstract analytic number theory | p. 503 |
| Dirichlet series | p. 504 |
| A general Tauberian theorem | p. 514 |
| Abstract formations and zeta functions | p. 527 |
| Arithmetical formations I: Zeta functions | p. 535 |
| Arithmetical formations II: Asymptotic results | p. 546 |
| Arithmetical formations III: Structure theory | p. 560 |
| Geometrical formations I: Asymptotic results | p. 570 |
| Geometrical formations II: Structure theory | p. 585 |
| Algebraic function fields | p. 588 |
| Obstructed formations | p. 599 |
| Analytic theory of non-unique factorizations | p. 611 |
| Analytic theory of types | p. 612 |
| Elements with prescribed factorization properties | p. 628 |
| The number of distinct factorizations | p. 633 |
| Block-dependent factorization properties | p. 636 |
| Abelian Groups | p. 649 |
| Complex Analysis | p. 659 |
| Theory of Integration | p. 671 |
| Polyhedral Cones | p. 677 |
| Bibliography | p. 681 |
| List of Symbols | p. 695 |
| Subject Index | p. 697 |
| Table of Contents provided by Ingram. All Rights Reserved. |
