Mathematics – General Topology
Scientific paper
2010-02-08
Mathematics
General Topology
Slides of my talk at International Conference on Analysis and Applications, January 24--26, Muscat, Oman. The results were ann
Scientific paper
A classical result of topological algebra states that any compact left topological semigroup has an idempotent. We refine this by showing that any compact left topological left semiring has a common, i.e. additive and multiplicative simultaneously, idempotent. As an application, we partially answer a question related to algebraic properties of ultrafilters over natural numbers. Finally, we observe that similar arguments establish the existence of common idempotents in much more general, non-associative universal algebras.
No associations
LandOfFree
Common idempotents in compact left topological left semirings does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Common idempotents in compact left topological left semirings, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Common idempotents in compact left topological left semirings will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-308171