The paper gives algebraic conditions for linear relations to factor as R = SQ or R = QS with Q an idempotent or projection, and proves every product of two multivalued projections is a multivalued projection times a single-valued projection.
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Factorizations of linear relations by idempotents
The paper gives algebraic conditions for linear relations to factor as R = SQ or R = QS with Q an idempotent or projection, and proves every product of two multivalued projections is a multivalued projection times a single-valued projection.