The study of nonunique factorizations of elements into irreducible elements in commutative rings and monoids has emerged as an independent area of research only

A textbook for an undergraduate course, requiring only a knowledge of basic linear algebra. Explains how to compute presentations for finitely generated cancell

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

This volume consists of twenty-one articles by many of the most prominent researchers in non-Noetherian commutative ring theory. The articles combine in various

This book offers a comprehensive account of not necessarily commutative arithmetical rings, examining structural and homological properties of modules over arit