Automorphism-invariant modules have emerged as a linchpin in the study of modern algebra, especially in the context of module theory over noncommutative rings. These modules are defined by the ...

Informally, a dynamic system is any physical system that evolves with time (e.g., a pendulum, a planet orbiting the sun, the weather, etc). From a more mathematically precise perspective, one can ...

Let Γ be the automorphism group of a nonelementary reduced abelian p-group, p ≥ 5. It is shown that every noncentral normal subgroup of Γ contains a noncentral elementary abelian normal p-subgroup of ...

We study automorphism groups of randomizations of separable structures, with focus on the ℵ₀-categorical case. We give a description of the automorphism group of the Borel randomization in terms of ...