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 ...

In this paper, we introduce the notion of a generalized f -derivation in a BEalgebra, and obtain some properties in generalized f -derivations. Also, we characterized isotone generalized f -derivations and KerD. Mathematics Subject Classification: 06F35, 03G25, 08A30

Let K,S,D be a division ring an endomorphism and a S-derivation of K, respectively. In this setting we introduce generalized noncommutative symmetric functions and obtain Viète formula and decompositions of differential operators. W -polynomials show up naturally, their connections with P -independency, Vandermonde and Wronskian matrices are briefly studied. The different linear factorizations ...

In this paper, the well-known Faulkner construction is revisited and adapted to include super case, which gives a bijective correspondence between generalized Jordan (super)pairs faithful Lie (super)algebra (super)modules, under certain constraints (bilinear forms with properties analogous ones of Killing form are required, only finite-dimensional objects considered). We always assume that base...