Abstract

We introduce and study a new class of modules and rings we call -perspective, which can either be described in terms of perspective direct summands, associate idempotents, or generalized inverses. When n is small (), we recover existing class of modules and rings: (endo)abelian, strongly IC, and perspective ones. And 3/2-perspective rings are characterized by all their regular elements being special clean. Standard constructions are also discussed and examples are provided.

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