Every cutset meets every fibre in certain poset products

Every Poset Has a Central Element

It is proved that there exists a constant 6, f > 6 > 0, such that in every finite partially ordered set there is an element such that the fraction of order ideals containing that element is between 6 and 1 -6. It is shown that 6 can be taken to be at least (3-log, 5)/4~0.17. This settles a question asked independently by Colburn and Rival, and Rosenthal. The result implies that the information-...

Say every word on every slide

Leica Geosystems Products Accurate Performance in Every Dimension

Passions in Every Room.

Finding my way through a bramble of monitors tangled in the dense undergrowth of thorny data. Morning rounds are a forest thick with prickly questions. Perfect strangers become patients. Personalities baroque as the 50 year-old Hispanic man admitted yesterday with back pain. In prison for 19 years, (in America for 20) Arms, chest, and thick neck all Hieronymus Bosch and guitar-string calligraph...

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...