On crossed modules in modified categories of interest
MATHEMATICAL COMMUNICATIONS, cilt.22, sa.1, ss.113-121, 2017 (SCI-Expanded, Scopus)
- 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.