Weakly dual automorphism invariant and superfluous cotightness

Truong Cong Quynh, Truong; Kosan, MUHAMMET; Tran Hoai Ngoc Nhan, Tran

doi:10.1080/00927872.2019.1662915

Weakly dual automorphism invariant and superfluous cotightness

Truong Cong Quynh T. C. Q., Kosan M. T., Tran Hoai Ngoc Nhan T. H. N. N.

COMMUNICATIONS IN ALGEBRA, cilt.48, sa.2, ss.833-846, 2020 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 48 Sayı: 2
Basım Tarihi: 2020
Doi Numarası: 10.1080/00927872.2019.1662915
Dergi Adı: COMMUNICATIONS IN ALGEBRA
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
Sayfa Sayıları: ss.833-846
Gazi Üniversitesi Adresli: Evet

Özet

The aim of the present paper is to introduce and study the dual concepts of weakly automorphism invariant modules and essential tightness. These notions are non-trivial generalizations of both weakly projectivity, dual automorphism invariant property and cotightness. We obtain certain relations between weakly projective modules, weakly dual automorphism invariant modules and superfluous cotight modules. It is proved that: (1) for right perfect rings, every module is a direct summand of a weakly dual automorphism invariant module and (2) weakly dual automorphism invariant modules are precisely superfluous cotight modules.