On crossed modules in modified categories of interest

USLU E. Ö., ÇETİN S., ASLAN A. F.

MATHEMATICAL COMMUNICATIONS, cilt.22, sa.1, ss.113-121, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 22 Sayı: 1
  • Basım Tarihi: 2017
  • Dergi Adı: MATHEMATICAL COMMUNICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.113-121
  • Anahtar Kelimeler: center, central extension, commutator, singularity, LIE-ALGEBRAS, INTERNAL CATEGORIES, CENTRAL EXTENSIONS, POISSON ALGEBRAS, OPERATIONS, ACTOR
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

We introduce some algebraic structures such as singularity, commutators and central extension in modified categories of interest. Additionally, we introduce the cats-objects and internal categories with their connection to crossed modules in these categories, which gives rise to unification of many notions about (pre)crossed modules in various algebras of categories.