Higher dimensional algebras as ideal maps

Odabaş A., Ulualan E.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.49, sa.6, ss.1865-1884, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 49 Sayı: 6
  • Basım Tarihi: 2020
  • Doi Numarası: 10.15672/hujms.575080
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.1865-1884
  • Anahtar Kelimeler: crossed module, crossed square, ideal map, MODULES
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

In this work, we explain the close relationship between an ideal map structure S End(R)(R) on a homomorphism of commutative k-algebras R -> S and an ideal simplicial algebra structure on the associated bar construction Bar(S,R). We also explain this structure for crossed squares of algebras.