Some Results on Fixed Sets and Kernel Sets of Permuting \(n\)-\((f ,g)\)-derivation of Lattices

Pongsatorn Chotchaya; Utsanee Leerawat

doi:10.26713/cma.v13i3.1870

Authors

Pongsatorn Chotchaya Department of Mathematics, Faculty of Science, Kasetsart University, Bangkok 10900, Thailand
Utsanee Leerawat Department of Mathematics, Faculty of Science, Kasetsart University, Bangkok 10900, Thailand https://orcid.org/0000-0001-8283-2596 (unauthenticated)

DOI:

https://doi.org/10.26713/cma.v13i3.1870

Keywords:

Lattice, Derivation, \((f,g)\)-derivation, Permuting \(n\)-\((f,g)\)-derivation, Fixed set, Kernel set

Abstract

In this paper, we introduce a multivariate fixed set, a partial fixed set, a multivariate kernel set and a partial kernel set of permuting \(n\)-\((f , g)\)-derivation in lattices, and investigate some related properties. We also give some conditions under which these sets are sublattices and ideals.

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