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F-derivations on residuated multilattices | ||
| Journal of Hyperstructures | ||
| دوره 8، شماره 1، شهریور 2019، صفحه 81-93 اصل مقاله (327.03 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2019.2615 | ||
| نویسندگان | ||
| Celestin Lele* 1؛ Line Nzoda Maffeu2؛ Etienne Alomo Temgoua3؛ Stefan Schmidt4 | ||
| 1Department of Mathematics and Computer Science, University of Dschang, P.O.Box 67, Dschang, Cameroon | ||
| 2Department of Mathematics and Computer Science, University of Dschang, Cameroon | ||
| 3Department of Mathematics of Ecole Normale Superieure, University of Yaounde 1, Cameroon | ||
| 4Department of Mathematics faculty of algebra, University of Dresden, Dresden 01069, Germany | ||
| چکیده | ||
| In this paper, we introduce as a generalization of the concept of derivation, the notion of f-derivation on residuated multilattices and investigate several of its properties. Then, we study good ideal f-derivations and make the connection with the complemented elements. Moreover, special sub-classes like the set of f-fixed points, the Kernel are found to have nice substructures. | ||
| کلیدواژه‌ها | ||
| Multilattice؛ residuated multilattice؛ filter؛ complemented elements؛ ideal derivation | ||
| مراجع | ||
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