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The notion of pseudoblocks is borrowed from  and introduced to finite dimensional algebras. We determine the pseudoblocks for several known algebras such as the triangular algebra and the cyclic group algebra. Also, we determine the pseudoblocks for the group algebra of the special linear group SL(2, p) in the natural characteristic being the only finite group of Lie type of finite representation type.doi:10.33401/fujma.691602 fatcat:ltrpbvsvhvgmjcwz5wnuyz6fq4