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On Hermitian endomorphism rings

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Let A be a right R-module with finite exchange property and let E be its endomorphism ring. In this paper, some sufficient and necessary conditions for E to be a… Click to show full abstract

Let A be a right R-module with finite exchange property and let E be its endomorphism ring. In this paper, some sufficient and necessary conditions for E to be a Hermitian ring are given. Moreover, we investigate Hermitian endomorphism rings of quasi-projective modules by means of completions of diagrams. The dual problems for quasi-injective modules are also studied.

Keywords: endomorphism rings; endomorphism; hermitian endomorphism

Journal Title: Journal of Algebra and Its Applications
Year Published: 2017

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