2021/12/20 by Tuğba Aslan, Aslan, Tuğba, Mohamed Khaled +3
Mathematics · #03C05 #05C12 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Artificial intelligence #Class (philosophy) #Computer science #Discrete mathematics #FOS: Mathematics #General Mathematics (math.GM) #Group (periodic table) #Mathematics #Physics #Primary 08A60 #Pure mathematics #Quantum mechanics #Secondary 08A05 #Value (mathematics) #math.GM #msc:03C05 #msc:05C12 #msc:08A05 #msc:08A60
paper · pdf · doi:10.48550/arxiv.2112.12587
25 pages; 15 figures
arxiv created 2021/12/20 · openalex publication_date 2021/12/20 · arxiv updated 2021/12/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/08
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.