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Regular Substructures of Hom

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Abstract

Extending the notion of von Neumann regular elements in a ring R, a homomorphism f:AM between R-modules is said to be regular if there exists some g:M → A such that fgf = f. In this paper we report about the use of this term in module theory.

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References

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Correspondence to Friedrich Kasch.

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Kasch, F. Regular Substructures of Hom. Appl Categor Struct 16, 159–166 (2008). https://doi.org/10.1007/s10485-007-9068-5

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  • DOI: https://doi.org/10.1007/s10485-007-9068-5

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