Fully idempotent and coidempotent modules

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In this paper, the notion of fully idempotent modules is defined and it is shown that this notion inherits most of the essential properties of the usual notion of von Neumann's regular rings. Furthermore, we introduce the dual notion of fully idempotent modules (that is, fully coidempotent modules) and investigate some properties of this class of modules.

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volume 38  issue 4

pages  987- 1005

publication date 2012-12-15

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