[PDF][PDF] On the automorphism-invariance of finitely generated ideals and formal matrix rings
TCQ Le Van Thuyeta - Filomat, 2023 - viasm.edu.vn
In this paper, we study rings having the property that every finitely generated right ideal is
automorphism-invariant. Such rings are called right fa-rings. It is shown that a right fa-ring …
automorphism-invariant. Such rings are called right fa-rings. It is shown that a right fa-ring …
[HTML][HTML] On Injectivity of Modules via Semisimplicity
NTT Ha - Kyungpook Mathematical Journal, 2022 - kmj.knu.ac.kr
A right R-module N is called pseudo semisimple-M-injective if for any monomorphism from
every semisimple submodule of M to N, can be extended to a homomorphism from M to N. In …
every semisimple submodule of M to N, can be extended to a homomorphism from M to N. In …
On Morita equivalent of indecomposable automorphism-invariant rings
DT Trang - Asian-European Journal of Mathematics, 2023 - World Scientific
In this paper, we give some results of indecomposable rings in which finitely generated right
ideals are automorphism-invariant. They are called fa-rings. It shows that any …
ideals are automorphism-invariant. They are called fa-rings. It shows that any …
[PDF][PDF] New characterizations of quasi-Frobenius rings
Throughout this paper, all rings R are associative with identity and all modules are unitary
right R-module. The notations N≤ e M and N≤⊕ M mean that N is an essential submodule …
right R-module. The notations N≤ e M and N≤⊕ M mean that N is an essential submodule …
[引用][C] New characterizations of quasi-Frobenius rings
In this paper, we firstly provide several new characterizations of quasi-Frobenius rings by
using some generalized injectivity of rings with certain chain conditions. For example,(1) a …
using some generalized injectivity of rings with certain chain conditions. For example,(1) a …