Direct limits of Cohen–Macaulay rings

Generalized Covering Groups and Direct Limits

Constructing Division Rings as Module-theoretic Direct Limits

If R is an associative ring, one of several known equivalent types of data determining the structure of an arbitrary division ring D generated by a homomorphic image of R is a rule putting on all free R-modules of finite rank matroid structures (closure operators satisfying the exchange axiom) subject to certain functoriality conditions. This note gives a new description of how D may be constru...

Semiclassical Limits of Quantized Coordinate Rings

This paper offers an expository account of some ideas, methods, and conjectures concerning quantized coordinate rings and their semiclassical limits, with a particular focus on primitive ideal spaces. The semiclassical limit of a family of quantized coordinate rings of an affine algebraic variety V consists of the classical coordinate ring O(V ) equipped with an associated Poisson structure. Co...

generalized covering groups and direct limits

on direct sums of baer modules

the notion of baer modules was defined recently