Investigates conditions for semicentral idempotent matrices and introduces new idempotent classes using braided structures.
The main aim of this paper is to find necessary and sufficient conditions under which a square matrix over a ring is a semicentral idempotent matrix. Using ℓ-braided and r-braided idempotents of the ring, we construct new classes of idempotent matrices that are not semicentral idempotents.
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D. I. Vladeva (2026) studied this question.
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