A characterization of Goldie extending trivial Morita contexts

Autor:	Sara Moradiani, Ahmad Moussavi, Masoome Zahiri
Rok vydání:	2023
Předmět:	Algebra and Number Theory Applied Mathematics
Zdroj:	Journal of Algebra and Its Applications.
ISSN:	1793-6829 0219-4988
DOI:	10.1142/s0219498824500981
Popis:	A module [Formula: see text] is said to be extending (Goldie extending) if for each submodule [Formula: see text] there exists a direct summand [Formula: see text] of [Formula: see text] such that [Formula: see text] is essential in [Formula: see text] (if for every submodule [Formula: see text] of [Formula: see text] there exists a direct summand [Formula: see text] of [Formula: see text] such that [Formula: see text] is essential in both [Formula: see text] and [Formula: see text]). In this paper, a necessary and sufficient condition is obtained for a trivial Morita context ring to be right Goldie-extending.
Databáze:	OpenAIRE
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