Abstract

This chapter elaborates different aspects of affine modules. It discusses the reducts of modules. The chapter presents the characterization of certain reducts of unitary modules over an arbitrary ring. The reducts of an algebra u = (A; F) are defined to be algebras of the form (A;F’) with F′ ⊆ P(u). A reduct with all operations idempotent is called an idempotent reduct. The term full idempotent reduct is used to mean the greatest idempotent reduct. The reducts of an algebra u are determined up to equivalence by the subclones of the clone of u.

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