Orders and their Applications

With contributions by numerous experts

Finite type implies isolated singularity.- Normal integral bases and embeddings of fields.- Brauer-severi schemes of orders.- A survey of analytic methods in noncommutative number theory.- The variety of a module.- Crossed product orders and wild ramification.- Self-duality over the maximal order and torsion galois modules.- Representation types of group rings over complete discrete valuation rings II.- Tame representations, local principal orders and local Weil groups.- Modules under ground ring extension.- The merkurjev-suslin theorem.- Galois theory and primality testing.- Stickelberger ideals, monoid rings, and galois module structure.- The schur group.- Projective class groups of integral group rings: a survey.- Module valuations and representations of completely reducible orders.- Galois descent and class groups of orders.- The isomorphism problem for group rings: A survey.- Relative galois module structure of rings of integers.