On the networks of large embeddings

Aslan Khalifa, Tuğba; Khalıfa, Mohamed; Székely, Gergely

doi:10.1007/s00012-024-00862-8

On the networks of large embeddings

Aslan Khalifa T., Khalıfa M. K. M. I., Székely G.

ALGEBRA UNIVERSALIS, cilt.85, sa.3, 2024 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 85 Sayı: 3
Basım Tarihi: 2024
Doi Numarası: 10.1007/s00012-024-00862-8
Dergi Adı: ALGEBRA UNIVERSALIS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, DIALNET
Anahtar Kelimeler: Large embeddings, Generator distance, Monounary algebras
İstanbul Medipol Üniversitesi Adresli: Evet

Özet

We define a special network that exhibits the large embeddings in any class of similar algebras. With the aid of this network, we introduce a notion of distance that conceivably counts the minimum number of dissimilarities, in a sense, between two given algebras in the class in hand; with the possibility that this distance may take the value ∞. We display a number of inspirational examples from different areas of algebra, e.g., group theory and monounary algebras, to show that this research direction can be quite remarkable.