Strongly solvable varieties
The plan of Part II is as follows. We deal with a locally finite, structured, Abelian variety V. According to Theorem 1.3, we have V = V1 V V2 where V1 and V2 are the sub varieties of V that are defined in Definition 1.1. The first principal result of Part II is achieved in Theorem 9.6: V1 is strongly Abelian and V2 is affine. The second principal result is Theorem 11.9: V1 is equivalent to a structured variety of multi-sorted unary algebras. The third principal result is Theorem 12.19, which characterizes the decidable, locally finite, strongly solvable varieties in terms of an elementary property of the associated variety of multi-sorted unary algebras.
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