We define a closure operation for ideals in a commutative ring which has all the good properties of solid closure (at least in the case of equal characteristic) but such that also every ideal in a regular ring is closed. This gives in particular a kind of tight closure theory in characteristic zero without referring to positive characteristic.

We present an algorithm for computation of interpolatory splines of arbitrary order at triadic rational points. The algorithm is based on triadic subdivision of splines. Explicit expressions for the subdivision symbols are established. These are rational functions. The computations are implemented by recursive filtering.

-Communication complexity scale (CCS)Brady et al., 2012 [1]was developed to assess the communication of individuals with intellectual disabilities and developmental disabilities who are mostly presymbolic communicators in the context of examiner-child scripted interaction. In the present study, CCS was adapted to assess communication oftwo typically developing children of 1.6 years age in unscr...

In everyday life, we often observe unusually frequent interactions among people before or during important events, e.g., people send/receive more greetings to/from their friends on holidays than regular days. We also observe that some videos or hashtags suddenly go viral through people’s sharing on online social networks (OSNs). Do these seemingly different phenomena share a common structure? A...

We construct normal hypersurfaces whose local cohomology modules have infinitely many associated primes. These include unique factorization domains of characteristic zero with rational singularities, as well as F-regular unique factorization domains of positive characteristic. As a consequence, we answer a question on the associated primes of Frobenius powers of ideals, which arose from the loc...

For Y a closed normal subvariety of codimension c of a smooth C–variety X, Brylinski and Kashiwara showed in [BK81] that the local cohomology module HcY (X,OX) contains a unique simple DX– submodule, denoted by L(Y, X). In this paper the analogous result is shown for X and Y defined over a perfect field of finite characteristic. Moreover, a local construction of L(Y,X) is given, relating it to ...

Formal Concept Analysis offers a simple formalization for representing knowledge structures extracted from various data. Lately, the triadic case has become increasingly popular, given that data can often be interpreted in a triadic setting for further processing and analysis. However, visualization and navigation in triadic conceptual landscapes is not trivial and, so far, there are no tools i...