| Conţinutul numărului revistei |
| Articolul precedent |
| Articolul urmator |
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 84 0 |
| Căutarea după subiecte similare conform CZU |
| 519.673 (7) |
| Matematică computațională. Analiză numerică. Programarea calculatoarelor (124) |
 SM ISO690:2012BALLAL, 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 |
| EXPORT metadate: Google Scholar Crossref CERIF DataCite Dublin Core |
 Quasigroups and Related Systems |
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| 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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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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Dublin Core Export
<?xml version='1.0' encoding='utf-8'?> <oai_dc:dc xmlns:dc='http://purl.org/dc/elements/1.1/' xmlns:oai_dc='http://www.openarchives.org/OAI/2.0/oai_dc/' xmlns:xsi='http://www.w3.org/2001/XMLSchema-instance' xsi:schemaLocation='http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd'> <dc:creator>Ballal, S.</dc:creator> <dc:creator>Puranik, S.</dc:creator> <dc:creator>Kharat, V.</dc:creator> <dc:date>2023-12-29</dc:date> <dc:description xml:lang='en'><p>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.</p></dc:description> <dc:identifier>10.56415/qrs.v31.13</dc:identifier> <dc:source>Quasigroups and Related Systems (2) 175-184</dc:source> <dc:subject>Prime submodule element</dc:subject> <dc:subject>radical element</dc:subject> <dc:subject>Zariski topology</dc:subject> <dc:subject>complete lattices</dc:subject> <dc:subject>le-modules</dc:subject> <dc:title>A note on comaximal graph and maximal topology on multiplication le-modules</dc:title> <dc:type>info:eu-repo/semantics/article</dc:type> </oai_dc:dc>
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