A study of summable QTAG-modules

Springer Science and Business Media LLC - 2022
Fahad Sikander1, Firdhousi Begam2, Tanveer Fatima3
1Department of Basic Sciences, College of Science and Theoretical Studies, Saudi Electronic University, Jeddah Branch, Kingdom of Saudi Arabia
2Applied Science Section, University Polytechnic, Aligarh Muslim University, Aligarh, Uttar Pradesh, 202002, India
3Department of Mathematics and Statistics, College of Sciences, Taibah University, Yanbu, Kingdom of Saudi Arabia

Tóm tắt

AbstractThis manuscript deals with the quasi-isomorphic invariants for QTAG modules; specially the cases when the module is summable, $$\sigma $$ σ -summable, $$(\omega +n)$$ ( ω + n ) -projective or HT -module. We show that if for a QTAG module M with a submodule N such that M/N is bounded, then M is weakly $$\omega _1$$ ω 1 -separable if and only if N is weakly $$\omega _1$$ ω 1 -separable.

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Tài liệu tham khảo

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