For a finite dimensional connected Lie group G with Lie algebra g, we consider a Lie-generating Lie wedge W [...] g. If S is a Lie subsemigroup of G with subtangent wedge W we give sufficient conditions for S to be free ...

In 1996, Jespers and Wang classified finite semigroups whose integral semigroup ring has finitely many units. In a recent paper, Iwaki-Juriaans-Souza Filho continued this line of research by partially classifying the finite ...

Let A be a finite-dimensional Q-algebra and Gamma subset of A a Z-order. We classify those A with the property that Z(2) negated right arrow U(Gamma) and refer to this as the hyperbolic property. We apply this in case A = ...

Quantum Decoherence consists in the appearance of classical dynamics in the evolution of a quantum system. This paper focuses on the probabilistic interpretation of this phenomenon, connected with the analysis of classical ...

For any finite commutative ring B with an identity there is a strict inclusion B[X; Z(0)] subset of B[X; Z(0)] subset of B[X; 1/2(2)Z(0)] of commutative semigroup rings. This work is a continuation of Shah et al. (2011) ...

Let T be a quantum Markov semigroup on B(h) with a faithful normal invariant state.. The decoherence-free subalgebra N(T) of T is the biggest subalgebra of B(h) where the completely positive maps T(t) act as homomorphisms. ...