Relative size of subsets of a semigroup

Published 30 May 2015 in math.GN | (1506.00112v1)

Abstract: Given a semigroup $S$, we introduce relative (with respect to a filter $\tau$ on $S$) versions of large, thick and prethick subsets of $S$, give the ultrafilter characterizations of these subsets and explain how large could be some cell in a finite partition of a subset $A\in\tau$.

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