Baer-Kaplansky classes of vector spaces and modules determined by numerical invariants

D'Este G., KESKİN TÜTÜNCÜ D., Tribak R.

COMMUNICATIONS IN ALGEBRA, cilt.51, sa.3, ss.1089-1104, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 51 Sayı: 3
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1080/00927872.2022.2125981
  • 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.1089-1104
  • Anahtar Kelimeler: Abelian groups, Baer-Kaplansky classes, Baer-Kaplansky theorem, quivers and their representations
  • Hacettepe Üniversitesi Adresli: Evet

Özet

We show that reasonably large classes C of vector spaces, modules over non-commutative algebras and abelian groups are Baer-Kaplansky classes with additional properties. Indeed, modules in C such that their endomorphism rings are isomorphic vector spaces, or modules such that their endomorphism rings are isomorphic vector spaces with the same number of primitive idempotents may be actually isomorphic.