CROSSED SEMIMODULES AND CAT(1)-MONOIDS
KOREAN JOURNAL OF MATHEMATICS, cilt.27, sa.2, ss.535-545, 2019 (ESCI)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 27 Sayı: 2
- Basım Tarihi: 2019
- Doi Numarası: 10.11568/kjm.2019.27.2.535
- Dergi Adı: KOREAN JOURNAL OF MATHEMATICS
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
- Sayfa Sayıları: ss.535-545
- Anahtar Kelimeler: Crossed module, crossed semimodule, cat(1)-group, cat(1)-monoid, INTERNAL CATEGORIES, TOPOLOGICAL-GROUPS, CO-HOMOLOGY, MODULES, GROUPOIDS, EXTENSIONS
- Recep Tayyip Erdoğan Üniversitesi Adresli: Evet
Özet
The main idea of this paper is to introduce the notion of cat(1)-monoids and to prove that the category of crossed semimodules C = (A, B, partial derivative) where A is a group is equivalent to the category of cat(1)-monoids. This is a generalization of the well known equivalence between category of cat(1)-groups and that of crossed modules over groups.