Abstract

Inspired by the monograph of Larsen/McCarthy, [26], in [10] and [11] the author started a series of articles concerning abstract multiplicative ideal theory along the problem lines of [26]. In this paper we turn to multiplicative lattices having the left Priifer property, that is to m-lattices satisfying the implication a1 + … + an ⊇ B ⇒ a1 +… + an ¦ℓ B or even the multiplication property A ⊇ B ⇒ A ¦B, respectively. Clearly, studying such structures includes studying substructures of d-semigroups.

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