On dominated extensions in function algebras

Algebraic Extensions of Continuous Function Algebras

On Central Extensions of Preprojective Algebras

μiei), where μ = (μi) is a regular weight (for the root system attached to Q), and ei are the vertex idempotents in P . 1 It is shown in [ER] that the algebra A has nicer properties than the ordinary Gelfand-Ponomarev preprojective algebra A0 = A/(z) of Q; in particular, the deformed version A(λ) of A = A(0) is flat, while this is not the case for A0. The paper [ER] also shows that A is a Frobe...

Extensions of Topological Algebras

We prove that, in the class of commutative topological algebras with separately continuous multiplication, an element is permanently singular if and only if it is a topological divisor of zero. This extends the result given by R. Arens [1] for the Banach algebra case. We also give sufficient conditions for non-removability of ideals in commutative topological algebras with jointly continuous mu...

Extensions of Normed Algebras

(Minor corrections and additions have been made. The page layout has also been changed.) 0 Contents Contents 1 Abstract 2 Chapter 1: Constructions and Elementary Properties and Applications of Algebraic Extensions of Normed Algebras 3

compactifications and function spaces on weighted semigruops

chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...