ON ⊕-S88-SUPPLEMENTED MODULES
[ X ]
Tarih
2022
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Publications L Institut Mathematique Matematicki
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
A module M is called E9-delta 88-supplemented if every submodule X of M has a delta 88-supplement Y in M which is a direct summand of M such that X + Y = M and X n Y Soco(Y) where Soco(Y) is the sum of simple and delta-small submodules of Y and M = Y E9 Y ' for some Y ' M. Moreover, M is called a completely E9-delta 88-supplemented module if every direct summand of M is E9-delta 88-supplemented. Thus, we present two new types of algebraic structures which are stronger than delta-D11 and delta-D+11-modules, respectively. In this paper we investigate basic properties, decompositions and ring characterizations of these modules.
Açıklama
Anahtar Kelimeler
left?88-perfect ring, (completely) E9-?88-supplemented module, strongly ?-local module, ?-D11-module, ?-D+11-module
Kaynak
Publications De L Institut Mathematique-Beograd
WoS Q Değeri
N/A
Scopus Q Değeri
Q4
Cilt
112
Sayı
126