Contemporary subject: human rights and democracy

The aim of this paper is to show that only in a society where human rights are honored and democracy is vigorous, the process of subjectivation be possible. It is a critical sociology research. The article is presented in two parts, the first, subject and subjectivity in contemporary times, analyze the obstacles that individuals have for subjective process, and the second, subject and human rights and subject and democracy we argue about the need for human rights and democracy for the process of subjectivation.

SK1-like functors for division algebras

We investigate the group valued functor G(D) = D*/F*D' where D is a division algebra with center F and D' the commutator subgroup of D*. We show that G has the most important functorial properties of the reduced Whitehead group SK1. We then establish a fundamental connection between this group, its residue version, and relative value group when D is a Henselian division algebra. The structure of G(D) turns out to carry significant information about the arithmetic of D. Along these lines, we employ G(D) to compute the group SK1(D). As an application, we obtain theorems of reduced K-theory which require heavy machinery, as simple examples of our method.