We give a simple and unified proof showing that the unrestricted wreath product of weakly sofic, linear or hyperlinear group by an amenable is hyperlinear, respectively. By means Kaloujnine-Krasner theorem, this implies extensions with quotients preserve four aforementioned metric approximation properties. also discuss case co-amenable groups.

Defectless irreducible polynomials over a valued field (F, v) have been studied by means of strict systems of polynomial extensions and complete distinguished chains. Strong connections are developed here between these two approaches and applications made to both. In the tame case where a root α of an irreducible polynomial f generates a tamely ramified extension of (F, v), simple formulas are ...

In this article, we analyze the concept of sovereignty embodied in four most-cited authors first generation International Relations (IR) Brazil, namely: Amado Cervo, Hélio Jaguaribe, José Flávio Sombra Saraiva and Maria Regina Soares de Lima. We evaluate from perspective Brazilian mentioned contrapuntal to view works American author Stephen Krasner. This study is developed dialogue with Global ...

We study the notions of positive cone, characteristic and C-characteristic in (Krasner) hyperfields. demonstrate how these interact order to produce interesting results theory For instance, we provide a criterion for deciding whether certain hyperfields cannot be obtained via Krasner’s quotient construction. prove that any integer (larger than 1) can realized as some infinite hyperfield an anal...

This article questions· ~hether it is useful to think of problem behavior as caused, and whether causal information about problem behavior is a necessary prerequisite to changing it. Psychoanalytic, behavioral, systemic, and solutionRfocused approaches to the issue are discussed briefly. Taking the perspective that the cause or causes of a particular client's problem behavior cmmot be known, it...

In this paper we introduce derivations in Krasner hyperrings and derive some basic properties of derivations. We also prove that for a strongly differential hyperring $R$ and for any strongly differential hyperideal $I$ of $R,$ the factor hyperring $R/I$ is a strongly differential hyperring. Further we prove that a map $d: R rightarrow R$ is a derivation of a hyperring $R$ if and only if the in...