Open AccessThe preservation of M-injectivity in the forming of factor modules
Author(s) -
D. Döman
Publication year - 1982
Publication title -
suid-afrikaanse tydskrif vir natuurwetenskap en tegnologie/die suid-afrikaanse tydskrif vir natuurwetenskap en tegnologie
Language(s) - English
Resource type - Journals
eISSN - 2222-4173
pISSN - 0254-3486
DOI - 10.4102/satnt.v1i3.1155
Subject(s) - injective function , factor (programming language) , injective module , mathematics , pure mathematics , computer science , programming language
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