This paper begins by pointing out a new generalization regarding the distribution of transitive need throughout Indo-European. It is shown that only those Indo-European languages that have a transitive verb have used to express possession (i.e., HAVElanguages) may also have a transitive verb need. No Indo-European BE-language has a transitive verb need. In light of this generalization, we argue...

Transitivity of generalized fuzzy matrices over a special type of semiring is considered. The semiring is called incline algebra which generalizes Boolean algebra, fuzzy algebra, and distributive lattice. This paper studies the transitive incline matrices in detail. The transitive closure of an incline matrix is studied, and the convergence for powers of transitive incline matrices is considere...

In this paper we classify all 4+1 cosmological models where the spatial hypersurfaces are connected and simply connected homogeneous Riemannian manifolds. These models come in two categories, multiply transitive and simply transitive models. There are in all five different multiply transitive models which cannot be considered as a special case of a simply transitive model. The classification of...

In this paper we investigate the following generalization of transitivity: A digraph D is (m, n )-transitive whenever there is a path of length m from x to y there is a subset of n + I vertices of these m +I vertices which contain a path of length n from x toy. Here we study various properties of (m, n )-transitive digraphs. In particular, (m, I)-transitive tournaments are characterized. Their ...