Essential ideal of a matrix nearring and ideal related properties of graphs
In: Boletim da Sociedade Paranaense de Matemática, Jg. 42 (2024-05-01)
Online
academicJournal
Zugriff:
In this paper, we consider matrix maps over a zero-symmetric right nearring $N$ with 1. We define the notions of essential ideal, superfluous ideal, generalized essential ideal of a matrix nearring and prove results which exhibit the interplay between these ideals and the corresponding ideals of the base nearring $N$. We discuss the combinatorial properties such as connectivity, diameter, completeness of a graph (denoted by $\mathcal{L}_{g}(H)$) defined on generalized essential ideals of a finitely generated module $H$ over $N$. We prove a characterization for $\mathcal{L}_{g}(H)$ to be complete. We also prove $\mathcal{L}_{g}(H)$ has diameter at-most 2 and obtain related properties with suitable illustrations.
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Essential ideal of a matrix nearring and ideal related properties of graphs
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Autor/in / Beteiligte Person: | Salvankar, Rajani ; Kedukodi Babushri Srinivas ; Panackal, Harikrishnan ; Kuncham Syam Prasad |
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Zeitschrift: | Boletim da Sociedade Paranaense de Matemática, Jg. 42 (2024-05-01) |
Veröffentlichung: | Sociedade Brasileira de Matemática, 2024 |
Medientyp: | academicJournal |
ISSN: | 0037-8712 (print) ; 2175-1188 (print) |
DOI: | 10.5269/bspm.67533 |
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