Topological entropy provides a rigorous framework for quantifying the complexity inherent in dynamical systems. It measures the exponential rate at which distinct orbits separate over time, thereby ...

Semigroup theory examines algebraic structures consisting of a set endowed with an associative binary operation. These structures encompass a wide range of mathematical entities including monoids, ...

This is a preview. Log in through your library . Abstract The Lagrange problem in the calculus of variations exhibits the principle of optimality in a particularly simple form. The binary operation of ...

Suppose Γ is a totally ordered discrete abelian group, and I is an ordered ideal in Λ. We show that the crossed product A × Γ+ by an action inflated from one Γ/I is isomorphic to the induced algebra $ ...