| Autor: |
Ganesh Gandal, R. Mary Jothi, Narayan Phadatare |
| Jazyk: |
angličtina |
| Rok vydání: |
2022 |
| Předmět: |
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| Zdroj: |
Journal of Mathematics, Vol 2022 (2022) |
| Druh dokumentu: |
article |
| ISSN: |
2314-4785 |
| DOI: |
10.1155/2022/2892841 |
| Popis: |
Let L be a multiplicative lattice and M be a lattice module over L. In this paper, we assign a graph to M called residual division graph RG(M) in which the element N∈M is a vertex if there exists 0M≠P∈M such that NP=0M and two vertices N1,N2 are adjacent if N1N2=0M (where N1N2=N1:IMN2:IMIM). It is proved that such a graph with the greatest element IM which does not belong to the vertex set is nonempty if and only if M is a prime lattice module. Also, we provide conditions such that RGM is isomorphic to a subgraph of Zariski topology graph ĢXM with respect to X. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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