CROSSED SEMIMODULES AND CAT(1)-MONOIDS

Temel S.

KOREAN JOURNAL OF MATHEMATICS, cilt.27, sa.2, ss.535-545, 2019 (ESCI) identifier

  • 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.