Following the introduction of an algebraic K-theory of special groups in [6], generalizing Milnor’s mod 2 K-theory for fields, the aim of this paper is to compute the K-theory of Boolean algebras, inductive limits, finite products, extensions, SG-sums and (finitely) filtered Boolean powers of special groups. A parallel theme is the preservation by these constructions of property [SMC], an analo...

Abstract It is known that irreducible cuspidal characters satisfy the preservation principle in Howe correspondences of finite reductive dual pairs. In this article, we generalize to any classical groups.

We develop various aspects of the finite model theory of Lk(there exists) and Lk∞omega(there exists). We establish the optimality of normal forms for Lk∞omega(there exists) over the class of finite structures and demonstrate separations over the class of finite structures and demonstrate separations among descriptive complexity classes within Lk∞omega(there exists). We establish negative result...

This study aims to explore consumers' attitude toward a new preservation technique using herbs and berries in organic meat production, which enables to minimize the amount of chemical additives and to reduce the salt content in meat products. Consumer acceptance of the preservation technique using herbs and berries and intention to purchase products preserved with herbs and berries were investi...

In this paper we present conditions for the preservation of strong and polynomial stability of a strongly continuous semigroup under unbounded finite rank perturbations of its infinitesimal generator. In addition, we also improve recent perturbation results for bounded finite rank perturbations. The results are illustrated with two examples. In the first one we consider the preservation of stab...