Is it possible to use the Redux management library without a React application associated with it?

Yes, Redux can be used independently of React. Redux is a state management library that does not depend on React and can be applied in any JavaScript application, including Node.js. For example, you can use Redux for centralized state management in a server application or in any other environment where predictable state change logic is needed.

Here's a simple example of using Redux without React:

const { createStore } = require('redux');

// Reducer — a function describing how the state changes
function counter(state = 0, action) {
  switch (action.type) {
    case 'INCREMENT':
      return state + 1;
    case 'DECREMENT':
      return state - 1;
    default:
      return state;
  }
}

const store = createStore(counter);

store.subscribe(() => console.log(store.getState()));

store.dispatch({ type: 'INCREMENT' }); // 1
store.dispatch({ type: 'INCREMENT' }); // 2
store.dispatch({ type: 'DECREMENT' }); // 1

Thus, Redux is a universal tool for state management, not tied to React.