Abstract
Let V be a finitely decidable variety and A ∈ V a finite subdirectly irreducible algebra with a type 2 monolith μ. We prove that (1) the solvable radical ν of A is the centralizer of μ (2) ν is abelian, i.e., every solvable congruence of A is abelian; (3) the interval sublattice I[ν, 1A] ⊆ Con A is linear, and typ{ν, aA} ∈ {3}.
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