On Baer-Kaplansky Classes of Modules

Tutuncu D., Tribak R.

ALGEBRA COLLOQUIUM, cilt.24, sa.4, ss.603-610, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 24 Sayı: 4
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1142/s1005386717000396
  • Dergi Adı: ALGEBRA COLLOQUIUM
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.603-610
  • Hacettepe Üniversitesi Adresli: Evet

Özet

We are interested in studying when the class of local modules is Baer-Kaplansky. We provide an example showing that even over a commutative semisimple ring R, we can find two non-isomorphic simple R-modules S-1 and S-2 such that the rings End(R)(S-1) and End(R)(S-2) are isomorphic. We show that over any ring R, the class of semisimple R-modules is Baer-Kaplansky if and only if so is the class of simple R-modules.