A VARIATION OF δ-LIFTING AND δ-SUPPLEMENTED MODULES WITH RESPECT TO AN EQUIVALENCE RELATION
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Tarih
2022
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Yazd University
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper we introduce Goldie∗-δ-supplemented modules as follows. A module M is called Goldie∗-δ-supplemented (briefly, G∗δ-supplemented) if there exists a δ-supplement T of M for every submodule A of M such that Aβδ∗T. We say that a module M is called Goldie∗-δ-lifting (briefly, G∗δ-lifting) if there exists a direct summand D of M for every submodule A of M such that Aβδ∗D. Note that the last concept given in [4] as a δ-H-supplemented module. We present fundamental properties of these modules. We indicate that these modules lie between δ-lifting and δ-supplemented modules. Also we prove that our modules coincide with some variations of δ-supplemented modules for δ-semiperfect modules. © 2022 Yazd University.
Açıklama
Anahtar Kelimeler
Goldie, δ-lifting module, δ-supplemented module<sup>∗</sup>-δ-supplemented module
Kaynak
Algebraic Structures and their Applications
WoS Q Değeri
Scopus Q Değeri
Q4
Cilt
9
Sayı
1
