GE-derivations

The notions of \xi-inside GE-derivation and \xi-outside GE-derivation on a GE-algebra are introduced and its properties are investigated. Conditions for a self-map on GE-algebra to be a \xi-inside GE-derivation and a \xi-outside GE-derivation are provided. The \xi-inside GE-derivation or the \xi-outside GE-derivation \varrho are used to form two sets X_{(\varrho = \xi)} and {\rm ker}(\varrho), and GE-subalgebra and GE-filter are studied for these two sets.

کلیدواژه ها:

(inside ، outside ، xi-inside ، xi-outside) GE-derivation ، GE-filter ، kernel