Orthogonally complete alternative rings

Alternative Loop Rings

DRAFT Abstract The right alternative law implies the left alternative law in loop rings of characteristic other than 2. We also exhibit a loop which fails to be a right Bol loop, even though its characteristic 2 loop rings are right alternative.

Complete fields and valuation rings

In order to make further progress in our investigation of finite extensions L/K of the fraction field K of a Dedekind domain A, and in particular, to determine the primes p of K that ramify in L, we introduce a new tool that allows us to “localize” fields. We have seen how useful it can be to localize the ring A at a prime ideal p: this yields a discrete valuation ring Ap, a principal ideal dom...

Some Questions concerning Alternative Rings

On Ramified Complete Discrete Valuation Rings

Nonoperative management of complete tracheal rings.

BACKGROUND Children with complete tracheal rings are often challenging to manage. Most children will present early with a severely compromised airway and will require tracheal reconstruction. OBJECTIVE To show that a small number of minimally symptomatic patients with complete tracheal rings experience airway growth over time and do not require tracheoplasty. DESIGN A retrospective medical ...