Güroğlu A. T.
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, cilt.1, ss.1-9, 2025 (ESCI)
-
Yayın Türü:
Makale / Tam Makale
-
Cilt numarası:
1
-
Basım Tarihi:
2025
-
Doi Numarası:
10.1142/s1793557125501190
-
Dergi Adı:
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS
-
Derginin Tarandığı İndeksler:
Scopus, Emerging Sources Citation Index (ESCI), zbMATH
-
Sayfa Sayıları:
ss.1-9
-
Manisa Celal Bayar Üniversitesi Adresli:
Evet
Özet
The objective of this paper is to examine the lifting modules with the assumption that a submodule can be considered as a co-coatomic. A module [Formula: see text] is called a co-coatomic lifting module if, for every proper co-coatomic submodule [Formula: see text] of [Formula: see text], there exists a decomposition [Formula: see text] of [Formula: see text] such that [Formula: see text] and [Formula: see text]. Co-coatomic lifting modules are situated between lifting modules and cofinitely lifting modules. We demonstrate that if [Formula: see text] is a distributive co-coatomic lifting module, then [Formula: see text] is also co-coatomic lifting for any submodule [Formula: see text] of [Formula: see text]. Moreover, the co-coatomic direct summand of a co-coatomic lifting module is co-coatomic lifting. If every [Formula: see text]-module [Formula: see text] is co-coatomic lifting, then [Formula: see text] is semiperfect. Furthermore, we derive that a finitely generated co-coatomic lifting module is discrete under certain condition.