CRITERIA OF -INDEPENDENCE AND COMPARISON OF THE ANALYTIC SPREAD OF TWO -AXIS-QUASI-GRADUATIONS OF AN -MODULE

In this work, we first establish the criterion of J-independence of the elements of a module with respect to an axis-quasi-graduation of a module through several propositions and theorems. Then, we establish three operations on the set of axis-quasi-graduations of a module on which we also define an order relation. Finally, we compare the J-analytic spread of two axis-quasi-graduations of a module.