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Showing 2003Show all
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math.AC2003
Well-centered overrings of an integral domain
William Heinzer, Moshe Roitman
Let A be an integral domain with field of fractions K. We investigate the structure of the overrings B of A (contained in K) that are well-centered on A in the sense that each prin…
math.AC2003
Complete integral closure and strongly divisorial prime ideals
Valentina Barucci, Stefania Gabelli, Moshe Roitman
It is well known that a domain without proper strongly divisorial ideals is completely integrally closed. In this paper we show that a domain without {\em prime} strongly divisoria…
math.CO2003
Periodic de Bruijn triangles: exact and asymptotic results
B. Shapiro, M. Shapiro, A. Vainshtein
We study the distribution of the number of permutations with a given periodic up-down sequence w.r.t. the last entry, find exponential generating functions and prove asymptotic for…