We consider projectivity and injectivity of Hilbert C*-modules in the categories of Hilbert C*-(bi-)modules over a fixed C*-algebra of coefficients (and another fixed C*-algebra represented as bounded module operators) and bounded (bi-)module morphisms, either necessarily adjointable or arbitrary ones. As a consequence of these investigations, we obtain a set of equivalent conditions characteri...

Here we present a new design of a system for stochastic self-assembly and reconfiguration of zero d.o.f. lattice modular robots in the fluid. The Fluidic Stochastic Modular Robotics (FSMR) system is envisioned to serve as a prototype for future sub-millimeter scale implementation with all critical structural parts having analogous counterparts implemented in MEMS. New FSMR features include cont...

We introduce Z-module structures which are extensions of additive loop structure and are systems 〈 a carrier, a zero, an addition, an external multiplication 〉, where the carrier is a set, the zero is an element of the carrier, the addition is a binary operation on the carrier, and the external multiplication is a function from Z× the carrier into the carrier. Let us mention that there exists a...