Advances in Commutative Ring Theory Lecture Notes in Pure and Applied Mathematics

Presenting the proceedings of the recently held Third International Conference on Commutative Ring Theory in Fez, Morocco, this up-to-date reference details the latest developments in commutative algebra and related areas-featuring 26 original research articles and six survey articles on fundamental topics of current interest.

Examining wide-ranging developments in commutative algebra, together with connections to algebraic number theory and algebraic geometry, Advances in Commutative Ring Theory covers: - monoid rings and the n-generator property - factorization and irreducibility criteria, class group, integer-valued polynomials, Skolem properties, and normsets - Koszul algebras, primary decomposition, Noetherian domains, and the Krull-Schmidt property - domains, Prfer domains, GCD-domains, pullbacks, A + XB[X] domains, pseudo-valuation rings, Hermite rings, and semi-Steinitz rings - Krull and projective dimensions, n-coherence, Kaplansky ideal transform, trace properties, polynomial rings, formal power series rings, seminormality, and root closure - plane cubic curves, spectral topology, and completions