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Graph based on residuated lattices | ||
| Journal of Hyperstructures | ||
| دوره 3، شماره 1، شهریور 2014، صفحه 27-39 اصل مقاله (358.11 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2014.2571 | ||
| نویسندگان | ||
| L. Torkzadeh* 1؛ A. Ahadpanh2؛ M. Behzadi3 | ||
| 1Department of Mathematics, Kerman Branch, Islamic Azad University, Kerman, Iran | ||
| 2Department of Mathematics, Kerman Science and Research Branch, Islamic Azad University, Kerman, Iran | ||
| 3Department of Mathematics,Kerman Science and Research Branch, Islamic Azad University, Kerman, Iran | ||
| چکیده | ||
| In this paper, the residuated graph of residuated lattices will be studied. To do so, the notion of zero divisors of a nonempty subset of a residuated lattice is first introduced and some related properties are investigated. By means of the set of all zerodivisors of an element of a residuated lattice L, the residuated graph Γ(L) is defined and several examples are given. This graph is connected and also some necessary conditions for the residuated graph to be a star graph are found. Finally, the relation between a residuated lattice L and the residuated graph Γ(L) are studied. | ||
| کلیدواژه‌ها | ||
| Residuated lattice؛ Graph؛ zero divisors؛ Residuated graph | ||
| مراجع | ||
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