in this paper, we have dened and studied a generalized form of topological vectorspaces called s-topological vector spaces. s-topological vector spaces are dened by using semi-open sets and semi-continuity in the sense of levine. along with other results, it is provedthat every s-topological vector space is generalized homogeneous space. every open subspaceof an s-topological vector space is ...

AB S TRACT We comment on the recent results of a temporal analysis of R Scuti, a star of RV Tauri type, presented by Buchler et al. As an alternative approach, we apply the technique of linear state space analysis to describe the irregular temporal behaviour with a linear stochastic process.We find evidence that the variability of R Scuti can be explained by the superposition of two stochastica...

Huang and Zhang cite{Huang} have introduced the concept of cone metric space where the set of real numbers is replaced by an ordered Banach space. Shojaei cite{shojaei} has obtained points of coincidence and common fixed points for s-Contraction mappings which satisfy generalized contractive type conditions in a complete cone metric space.In this paper, the notion of complete cone metric ...

A Conway semiring is a semiring S equipped with a unary operation * : S → S, always called 'star', satisfying the sum star and product star identities. It is known that these identities imply a Kleene type theorem. Some computationally important semirings, such as N or N rat Σ * of rational power series of words on Σ with coefficients in N, cannot have a total star operation satisfying the Conw...

Let $\star$ be a star operation on ring extension $R\subseteq S$. A S$ is called
 Pr\"ufer $star$-multiplication (P$\star$ME) if $(R_{[\m]}, \m _{[\m]})$ Manis pair in $S$ for
 every $\star$-maximal ideal $\m$ of $R$. We establish some results operations, and we study P$\star$ME
 pullback diagrams type $\square$. show that, for a
 maximal $R$, the $R_{[\m]} \subseteq is&#x0D...

The star product technique translates the framework of local fields on noncommutative space–time into nonlocal fields on standard space– time. We consider the example of fields on κ– deformed Minkowski space, transforming under κ–deformed Poincaré group with noncommutative parameters. By extending the star product to the tensor product of functions on κ–deformed Minkowski space and κ-deformed P...