Prime factor series of modules over a Noetherian algebra

Author(s):  
Günter Krause
Author(s):  
David Kaniewski ◽  
Elise Van Campo

The collapse of Bronze Age civilizations in the Aegean, southwest Asia, and the eastern Mediterranean 3200 years ago remains a persistent riddle in Eastern Mediterranean archaeology, as both archaeologists and historians believe the event was violent, sudden, and culturally disruptive. In the first phase of this period, many cities between Pylos and Gaza were destroyed violently and often left unoccupied thereafter. The palace economy of the Aegean Region and Anatolia that characterized the Late Bronze Age was replaced by the isolated village cultures of the Dark Ages. Earthquakes, attacks of the Sea Peoples, and socio-political unrest are among the most frequently suggested causes for this phenomenon. However, while climate change has long been considered a potential prime factor in this crisis, only recent studies have pinpointed the megadrought behind the collapse. An abrupt climate shift seems to have caused, or hastened, the fall of the Late Bronze Age world by sparking political and economic turmoil, migrations, and famines. The entirety of the megadrought’s effects terminated the Late Bronze Age in the eastern Mediterranean.


2001 ◽  
Vol 38 (1-4) ◽  
pp. 45-50 ◽  
Author(s):  
A. Balog

For an integer n≯1 letP(n) be the largest prime factor of n. We prove that there are infinitely many triplets of consecutive integers with descending largest prime factors, that is P(n - 1) ≯P(n)≯P(n+1) occurs for infinitely many integers n.


2020 ◽  
pp. 1-15
Author(s):  
VIMUT VANITCHAREARNTHUM

This paper applies business cycle accounting methodology to analyze the sources of aggregate fluctuations in Thai economy, especially during the recent severe recessions in 1997–1998 and 2008–2009. This exploration helps researchers uncover possible shocks and frictions that drive business cycle in a small and open economy within a minimal model set-up. Under this methodology, a fluctuation in aggregate output can be accounted for by exogenous time-varying wedges, namely efficiency wedge, investment wedge, labor wedge, government wedge, etc. This study found that the efficiency wedge is essential in accounting for aggregate output, consumption and investment fluctuation, while the bond wedge, which only present in an open economy setting, is a prime factor in accounting for movement in current accounts. I conducted counterfactual experiments to see what accounts for the output drop during recent recessions. I find that the efficiency wedge played a key role in recent recessions in Thailand, while the investment wedge was accounted for slow economic recovery after the recessions.


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