We define and studyco-Noetherian dimension of rings for which the injective envelopeof simple modules have finite Krull-dimension. This  is a Moritainvariant dimension that measures how far the ring is from beingco-Noetherian. The co-Noetherian dimension of certain rings,including commutative rings, are determined. It is shown that the class ${mathcal W}_n$ of rings with co-Noetherian dimension...

In this paper we investigate effective versions of Hausdorff dimension which have been recently introduced by Lutz. We focus on dimension in the class E of sets computable in linear exponential time. We determine the dimension of various classes related to fundamental structural properties including different types of autoreducibility and immunity. By a new general invariance theorem for resour...

Abstract In this chapter we put together two major threads of work: trust in the enactment of contracts and the modelling of relationships between agents. We depart from previous work where trust is defined as the relationship between commitment of action and instant observation of the actual actions being performed. Here we generalise the approach by assuming a time delay between the observati...

The paper is oriented to introduce different dimension reduction methods in the text document retrieval area. First, the mostly used text document retrieval models are described, and then in second part the analytical approach and neural network approaches to dimension reduction of keyword space are described. Dimension reduction methods reduce keyword space into much smaller size together with...