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Levels of Ultrafilters with Extension Divisibilities. (arXiv:1807.04805v1 [math.GN])
来源于:arXiv
To work more accurately with elements of the semigroup of the Stone Cech
compactification of the discrete semigroup of natural numbers N under
multiplication. We divided these elements into ultrafilters which are on finite
levels and ultrafilters which are not on finite levels. For the ultrafilters
that are on finite levels we prove that any element is irreducible or product
of irreducible elements and all elements on higher levels are extension divided
by some elements on lower levels. We characterize ultrafilters that are not on
finite levels and the effect of extension divisibility on the ultrafilters
which are not on finite levels. 查看全文>>