Eisenstein irreducibility criterion for modules

TEKİR Ü., KOÇ S.

Comptes Rendus de L'Academie Bulgare des Sciences, cilt.74, sa.1, ss.23-28, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 74 Sayı: 1
  • Basım Tarihi: 2021
  • Doi Numarası: 10.7546/crabs.2021.01.03
  • Dergi Adı: Comptes Rendus de L'Academie Bulgare des Sciences
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aquatic Science & Fisheries Abstracts (ASFA), BIOSIS, CAB Abstracts, zbMATH
  • Sayfa Sayıları: ss.23-28
  • Anahtar Kelimeler: Eisenstein irreducibility criterion, primality test, MILD GENERALIZATION, SCHONEMANN, DUMAS
  • Marmara Üniversitesi Adresli: Evet

Özet

© 2021 Academic Publishing House. All rights reserved.In this article, we study factorial modules. Let M be a torsion free module over an integral domain R. We prove Gauss Lemma for modules and also we give Eisenstein irreducibility criterion for factorial modules. Furthermore, we give some applications of Eisenstein irreducibility criterion in R[X]-module M[X].