Valuations determined by quadratic transforms of a regular ring

α Valuations of Special Classes of Quadratic Graphs

Quadratic Fourier Transforms

In this paper we shall examine the quadratic Fourier transform which is introduced by the generalized quadratic function for one order parameter in the ordinary Fourier transform. This will be done by analyzing corresponding six subcases of the quadratic Fourier transform within a reproducing kernel Hilbert spaces framework. Center for R&D in Mathematics and Applications, Department of Mathemat...

Regular networks are determined by their trees

A rooted acyclic digraph N with labelled leaves displays a tree T when there exists a way to select a unique parent of each hybrid vertex resulting in the tree T . Let Tr(N) denote the set of all trees displayed by the network N . In general, there may be many other networks M such that Tr(M) = Tr(N). A network is regular if it is isomorphic with its cover digraph. This paper shows that if N is...

α valuations of special classes of quadratic graphs

Rigid Resolution of a Finitely Generated Module Over a Regular Local Ring