TY - JOUR ID - 2631 TI - GE-derivations JO - Algebraic Structures and Their Applications JA - AS LA - en SN - 2382-9761 AU - Jun, Young Bae AU - Bandaru, Ravikumar AD - Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea. AD - Department of Mathematics, GITAM, Hyderabad Campus, Telangana-502329, India. Y1 - 2022 PY - 2022 VL - 9 IS - 2 SP - 11 EP - 35 KW - (inside KW - outside KW - $xi$-inside KW - $xi$-outside) GE-derivation KW - GE-filter KW - kernel DO - 10.22034/as.2022.2631 N2 - 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. UR - https://as.yazd.ac.ir/article_2631.html L1 - https://as.yazd.ac.ir/article_2631_19b2d0cde0181374b2f00305f9e16fc7.pdf ER -