Fully invariant-extending modular lattices, and applications (I)

Albu T., KARA ŞEN Y., TERCAN A.

JOURNAL OF ALGEBRA, cilt.517, ss.207-222, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 517
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1016/j.jalgebra.2018.08.036
  • Dergi Adı: JOURNAL OF ALGEBRA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.207-222
  • Anahtar Kelimeler: Modular lattice, Upper continuous lattice, Linear morphism of lattices, Fully invariant submodule, Fully invariant element, Fully invariant-extending lattice, OSOFSKY-SMITH THEOREM, GROTHENDIECK CATEGORIES, TORSION THEORIES, SUMMANDS, RINGS
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

Based on the concept of a linear morphism of lattices, recently introduced in the literature, we introduce and investigate in this paper the latticial counterpart of the notion of a fully invariant-extending module. (C) 2018 Elsevier Inc. All rights reserved.