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15 papers · 1 filter
Algebraic Goodwillie calculus and a cotriple model for the remainder
Andrew Mauer-Oats
We define an ``algebraic'' version of the Goodwillie tower, P_n^alg F(X), that depends only on the behavior of F on coproducts of X. When F is a functor to connected spaces or grou…
Odd Order Pandiagonal Latin and Magic Cubes in Three and Four Dimensions
Solomon Gartenhaus
Explicit algorithms are developed for constructing odd order n pandiagonal latin cubes in 3 and 4 dimensions, and these are used to construct pandiagonal magic cubes and 4 dimensio…
Sally modules and associated graded rings
Alberto Corso, Claudia Polini, Maria Vaz Pinto
We study the depth properties of the associated graded ring of an m-primary ideal I in terms of numerical data attached to the ideal I. We also find bounds on the Hilbert coefficie…
A negative answer to Nevanlinna's type question and a parabolic surface with a lot of negative curvature
Itai Benjamini, Sergei Merenkov, Oded Schramm
Consider a simply connected Riemann surface represented by a Speiser graph. Nevanlinna asked if the type of the surface is determined by the mean excess of the graph: whether mean…
A generalized Dedekind-Mertens lemma and its converse
Alberto Corso, William Heinzer, Craig Huneke
We study content ideals of polynomials and their behavior under multiplication. We give a generalization of the Lemma of Dedekind-Mertens and prove the converse under suitable dime…
Core and residual intersections of ideals
Alberto Corso, Claudia Polini, Bernd Ulrich
D. Rees and J. Sally defined the core of an -ideal as the intersection of all minimal reductions of . However, it is not easy to give an explicit characterization o…