On modules and rings having large absolute direct summands

Dao Thi T., M. Koşan T., Taşdemir Ö., Truong Cong Q.

COMMUNICATIONS IN ALGEBRA, cilt.51, sa.12, ss.4949-4961, 2023 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 51 Sayı: 12
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1080/00927872.2023.2223301
  • 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.4949-4961
  • Anahtar Kelimeler: (large) ADS module, (large) ADS ring, Automorphism-invariant module, CS module, essentially injective, fully invariant submodule
  • Gazi Üniversitesi Adresli: Evet

Özet

An ADS module is a direct sum of mutually injective modules, and an e-ADS module is a direct sum of mutually automorphism-invariant modules. In this paper, we introduce and study large ADS (LADS) modules that form a class of modules larger than ADS modules. An LADS module is a direct sum of mutually essentially injective modules. This result corresponds to the results of ADS and e-ADS modules.Communicated by Toma Albu