The Spectrum of a Ring as a Partially Ordered Set.
... prime ideals which are contractions of the maximal ideals of the By [11, page 2153, ^ roust be contained in one of them. we may say that M is the contraction of Since (J(R^) f| R) f°r i=l, ...
... prime ideals which are contractions of the maximal ideals of the By [11, page 2153, ^ roust be contained in one of them. we may say that M is the contraction of Since (J(R^) f| R) f°r i=l, ...
The arithmetic mean of the divisors of an integer
... (s,m) = 1, s is square-full, and m is square-free, then it is easy to see that there is a positive integer K such that the set of n whose square-full part s exceeds K has asymptotic density < e . (Indeed, this follows at once from the fact that the sum of the reciprocals of the square-full numbers i ...
... (s,m) = 1, s is square-full, and m is square-free, then it is easy to see that there is a positive integer K such that the set of n whose square-full part s exceeds K has asymptotic density < e . (Indeed, this follows at once from the fact that the sum of the reciprocals of the square-full numbers i ...