F-derivations on residuated multilattices

Document Type : Research Paper

Authors

1 Department of Mathematics and Computer Science, University of Dschang, P.O.Box 67, Dschang, Cameroon

2 Department of Mathematics and Computer Science, University of Dschang, Cameroon

3 Department of Mathematics of Ecole Normale Superieure, University of Yaounde 1, Cameroon

4 Department of Mathematics faculty of algebra, University of Dresden, Dresden 01069, Germany

Abstract

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.

Keywords

References

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Journal of Hyperstructures
Volume 8, Issue 1
June 2019
Pages 81-93

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