Generalization of Zorn’s lemma: maximal crossed ideals

Ilgaz Çağlayan E., EGE ARSLAN U.

Communications in Algebra, cilt.49, ss.3727-3735, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 49
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1080/00927872.2021.1904968
  • 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.3727-3735
  • Anahtar Kelimeler: Coprime crossed ideals, maximal crossed ideals, prime crossed ideals, the category of crossed module
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

© 2021 Taylor & Francis Group, LLC.In this article, we generalize some special ideals to crossed modules and give some relations. Also, we prove one of the existence results in algebra for crossed modules using Zorn’s lemma that a crossed module with nontrivial base ring with unity contains a maximal crossed ideal.