WHEN IS WEIGHT CRITICAL?

When every $P$-flat ideal is flat

In this paper‎, ‎we study the class of rings in which every $P$-flat‎ ‎ideal is flat and which will be called $PFF$-rings‎. ‎In particular‎, ‎Von Neumann regular rings‎, ‎hereditary rings‎, ‎semi-hereditary ring‎, ‎PID and arithmetical rings are examples of $PFF$-rings‎. ‎In the context domain‎, ‎this notion coincide with‎ ‎Pr"{u}fer domain‎. ‎We provide necessary and sufficient conditions for‎...

When is the Critical Path Not the Most Critical Path?

This paper challenges the conventional thinking, by proposing a new way to understand and use the term critical-path. At stake is much more than a semantic discussion of terminology. Numerous surveys have confirmed that CPM schedules are used for two primary reasons: project management and dispute resolution. To support either use, the critical-path must be identifiable in a consistent, objecti...

When Knowledge is the Critical Resource , Knowledge Management is the Critical Task

This paper argues that the increasing centrality of technology and other forms of knowledge to competitiveness induces long-run changes in both operations management and engineering management. Those emergent trends in practice are paralleled by changes in academia, in both teaching and research. In several domains of management practice, the “public good” nature of knowledge undermines the eff...

Critical Points When There Is No Saddle Point Geometry

We show how mountain pass methods can be used even when there is no mountain pass or saddle point geometry. The functional can grow on linking subsets. Applications are given.

when appropriate statistical analysis is dismissed