ABSTRACT

From its origins in algebraic number theory, the theory of non-unique factorizations has emerged as an independent branch of algebra and number theory. Focused efforts over the past few decades have wrought a great number and variety of results. However, these remain dispersed throughout the vast literature. For the first time, Non-Unique Factoriza

chapter 2|114 pages

Algebraic theory of monoids

chapter 3|74 pages

Arithmetic theory of monoids

chapter 4|66 pages

The structure of sets of lengths

chapter 5|74 pages

Additive group theory

chapter 6|64 pages

Arithmetical invariants of Krull monoids

chapter 7|64 pages

Global arithmetic of Krull monoids

chapter 8|108 pages

Abstract analytic number theory