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In this paper we use the classical Wedderburn's Kronecker Factorization Theorem to prove that category of bimodules over B and the category of bimodules over Mₙ(B) are equivalent, where B is some unital associative algebra. In addition to this, we classify the irreducible bimodules over Mₙ(F).
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Solís et al. (2024) studied this question.
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