Original Research

The preservation of M-injectivity in the forming of factor modules

D. Döman
Suid-Afrikaanse Tydskrif vir Natuurwetenskap en Tegnologie | Vol 1, No 3 | a1155 | DOI: https://doi.org/10.4102/satnt.v1i3.1155 | © 1982 D. Döman | This work is licensed under CC Attribution 4.0
Submitted: 25 March 1982 | Published: 25 March 1982

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D. Döman,, South Africa

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Abstract

For a given module M the factor modules of M-injective modules are not necessarily M-injective. Necessary and sufficient conditions are derived under which it is the case if M is projective. The result is used to characterize hereditary rings.

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