Higher dimensional algebras as ideal maps
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.49, sa.6, ss.1865-1884, 2020 (SCI-Expanded, Scopus, TRDizin)
- 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.