CONGRUENCE OF ULTRAFILTERS

DOI10.1017/JSL.2021.12zbMath1482.54030arXiv2008.02722OpenAlexW3047335095MaRDI QIDQ5159497

Boris Šobot

Publication date: 27 October 2021

Published in: The Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.02722

zbMATH Keywords

divisibilitycongruenceultrafilterStone-Čech compactificationnonstandard integer

Mathematics Subject Classification ID

Congruences; primitive roots; residue systems (11A07) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Nonstandard models of arithmetic (03H15) Special constructions of topological spaces (spaces of ultrafilters, etc.) (54D80) Nonstandard arithmetic (number-theoretic aspects) (11U10)

Cites Work

• Algebra in the Stone-Čech compactification. Theory and applications
• \(\widetilde{|}\)-divisibility of ultrafilters
• Divisibility in the Stone-\v{C}ech compactification
• Divisibility orders in βN
• Ultrafilters and Standard Functions in Non-Standard Arithmetic
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