On Morita equivalent of indecomposable automorphism-invariant rings

Autor: Dao Thi Trang
Rok vydání: 2022
Předmět:
Zdroj: Asian-European Journal of Mathematics. 16
ISSN: 1793-7183
1793-5571
DOI: 10.1142/s1793557123500146
Popis: In this paper, we give some results of indecomposable rings in which finitely generated right ideals are automorphism-invariant. They are called [Formula: see text]-rings. It shows that any indecomposable right artinian right Rickart right [Formula: see text]-ring [Formula: see text] is Morita equivalent to a formal upper triangular matrix ring. Moreover, we also study endomorphism rings of automorphism-invariant modules.
Databáze: OpenAIRE