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Centrality and Partition of Idempotents (2311.08404v1)
Published 7 Jul 2023 in math.RA
Abstract: We show that an idempotent lies in the center if it commutes with the other idempotents in the ring. Next, we introduce a partition of the set of idempotents and show that the automorphisms of the ring act transitively on each equivalence class.
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