in this paper, we investigate various kinds of extensions of twin-good rings. moreover, we prove that every element of an abelian neat ring r is twin-good if and only if r has no factor ring isomorphic to z2  or z3. the main result of [24] states some conditions that any right self-injective ring r is twin-good. we extend this result to any regular baer ring r by proving that every element of a...

in this article we study two different generalizations of von neumann regularity, namely strong topological regularity and weak regularity, in the banach algebra context. we show that both are hereditary properties and under certain assumptions, weak regularity implies strong topological regularity. then we consider strong topological regularity of certain concrete algebras. moreover we obtain ...

in this paper we construct antimagic labelings of the regular complete multipartite graphs and we also extend the construction to some families of regular graphs.

Our aim is to give an explicit description of the Arens-Michael envelope for universal enveloping algebra a finite-dimensional nilpotent complex Lie algebra. It turns out that belongs class completions introduced by R.~Goodman in 70s. To find precise form this we preliminary characterize set holomorphic functions exponential type on simply connected group. This approach leads unexpected connect...

Let S(0,1) be the *-algebra of all classes Lebesgue measurable functions on unit interval (0,1) and let a complete symmetric Δ-normed *-subalgebra S(0,1), in which simple are dense, e.g., L∞(0,1), Llog(0,1), Arens algebra Lω(0,1) equipped with their natural Δ-norms. We show that there exists no non-trivial derivation commuting dyadic translations interval. type II (or I∞) von Neumann algebra, a...

A first checklist of the Iranian Chrysididae is proposed. The list includes 184 species in 20 genera. Seventy species and genera Spinolia Dahlbom, 1854, Spintharina Semenov, 1892, Trichrysis Lichtenstein, 1876 are newly recorded from Iran. New combination is proposed for Chrysura laconiae (Arens, 2001), comb. nov. (from Chrysis) and Chrysurapyrogaster turca (Linsenmaier, 1997), comb. nov. (from...

In this paper we shall study the multipliers on Banach algebras and We prove some results concerning Arens regularity and amenability of the Banach algebra M(A) of all multipliers on a given Banach algebra A. We also show that, under special hypotheses, each Jordan multiplier on a Banach algebra without order is a multiplier. Finally, we present some applications of m...