Kernel stable and uniquely generated modules
[ X ]
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Publishing House of the Romanian Academy
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
A module theoretic notion of annihilator-stable rings is defined and some characterizations of it are studied. A module M is called kernel-stable if every element α ∈ End(M) satisfies the following condition: if α(M) + Kerβ = M, β ∈ End(M), then (α − γ)(m) ∈Kerβ for an automorphism γ of M and for all m ∈ M. For a pseudo-semi-projective module M, this notion is equivalent to that of uniquely generated module. © 2021, Publishing House of the Romanian Academy. All rights reserved.
Açıklama
Anahtar Kelimeler
Annihilator-stable rings, Kernel-stable modules, Matrix rings, Pseudo-semiprojective module, Stable range, Uniquely generated modules, Unit-regular rings, Von Neumann regular rings
Kaynak
Mathematica
WoS Q Değeri
Scopus Q Değeri
Q4
Cilt
63
Sayı
1
