EISENSTEIN IRREDUCIBILITY CRITERION FOR MODULES

Tekir Ü., Koç S.

COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES, vol.74, no.1, pp.23-28, 2021 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 74 Issue: 1
  • Publication Date: 2021
  • Doi Number: 10.7546/crabs.2021.01.03
  • Journal Name: COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES
  • Journal Indexes: Science Citation Index Expanded, Scopus, Aquatic Science & Fisheries Abstracts (ASFA), BIOSIS, CAB Abstracts, zbMATH
  • Page Numbers: pp.23-28
  • Keywords: Eisenstein irreducibility criterion, primality test, MILD GENERALIZATION, SCHONEMANN, DUMAS

Abstract

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].