Graphs of Commutatively Closed Sets
The present work aims to exploit the interplay between the algebraic properties of rings and the graph-theoretic structures of their associated graphs. We introduce commutatively closed graphs and investigate properties of commutatively closed subsets of a ring with the help of graph theory. A parti...
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| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | The present work aims to exploit the interplay between the algebraic
properties of rings and the graph-theoretic structures of their associated
graphs. We introduce commutatively closed graphs and investigate properties of
commutatively closed subsets of a ring with the help of graph theory. A
particular attention is paid to constructions of subsets of a given diameter.
In particular, we compute the diameter of artinian semisimple algebras. |
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| DOI: | 10.48550/arxiv.2105.02049 |