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519.673 (7) |
Matematică computațională. Analiză numerică. Programarea calculatoarelor (124) |
![]() BALLAL, Sachin, PURANIK, Sadashiv, KHARAT, Vilas. A note on comaximal graph and maximal topology on multiplication le-modules. In: Quasigroups and Related Systems, 2023, vol. 31, nr. 2, pp. 175-184. ISSN 1561-2848. DOI: https://doi.org/10.56415/qrs.v31.13 |
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Quasigroups and Related Systems | ||||||
Volumul 31, Numărul 2 / 2023 / ISSN 1561-2848 | ||||||
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DOI:https://doi.org/10.56415/qrs.v31.13 | ||||||
CZU: 519.673 | ||||||
MSC 2010: 06E10, 06E99, 06F99,06B23, 06F25 | ||||||
Pag. 175-184 | ||||||
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Rezumat | ||||||
In this article, the co-maximal graph ?(M) on le-modules M has been introduced and studied. The graph ?(M) consists of vertices as elements of RM and two distinct elements n;m of ?(M) are adjacent if and only if Rn + Rm = e. We have established a connection between the co-maximal graph and the maximal topology on Max(M) in the case of multiplication le-modules. Also, the Beck’s conjecture is settled for ?(M) which does not contain an infinite clique. |
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Cuvinte-cheie Prime submodule element, radical element, Zariski topology, complete lattices, le-modules |
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