392 citations
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4 papers · 1 filter
On a generalization of test ideals
Nobuo Hara, Shunsuke Takagi
The test ideal of a ring of prime characteristic is an important object in the theory of tight closure. In this paper, we study a generalization of the test ideal, which…
Associating curves of low genus to infinite nilpotent groups via the zeta function
Cornelius Griffin
It is known from work of du Sautoy and Grunewald in \cite{duSG1} that the zeta functions counting subgroups of finite index in infinite nilpotent groups depend upon the behaviour o…
Identity of Proofs Based on Normalization and Generality
K. Dosen
In general proof theory there are two approaches to the question of identity criteria for proofs. The first approach, which stems from Prawitz, Kreisel and Lambek, and is based on…
Higher Homotopy Operations
David Blanc, Martin Markl
We provide a general definition of higher homotopy operations, encompassing most known cases, including higher Massey and Whitehead products, and long Toda brackets. These operatio…