| Conţinutul numărului revistei |
| Articolul precedent |
| Articolul urmator |
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 218 0 |
| Căutarea după subiecte similare conform CZU |
| 519.17 (68) |
| Analiză combinatorică. Teoria grafurilor (115) |
 SM ISO690:2012RAWAT, Raja. On central digraphs constructed from left loops and loops. In: Quasigroups and Related Systems, 2023, vol. 31, nr. 1, pp. 125-134. ISSN 1561-2848. DOI: https://doi.org/10.56415/qrs.v31.09 |
| EXPORT metadate: Google Scholar Crossref CERIF DataCite Dublin Core |
 Quasigroups and Related Systems |
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| Volumul 31, Numărul 1 / 2023 / ISSN 1561-2848 | ||||||
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| DOI:https://doi.org/10.56415/qrs.v31.09 | ||||||
| CZU: 519.17 | ||||||
| MSC 2010: 20D60, 20N05, 05C20, 05C50. | ||||||
| Pag. 125-134 | ||||||
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Let An be the set of n n zero-one matrices satisfying the matrix equation A2 = Jn; where Jn is n n matrices of all ones. In this article, it is proved that the number of non-isomorphic left loops of order k gives the lower bound to the size of An for n = k2. Mainly we have established that any matrix in An corresponding to loop has rank 2k - 2, where n = k2, for some positive integer k. |
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| Cuvinte-cheie Left quasigroups, loops, central digraph, central groupoid |
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