Türkmen, Selin2025-01-272025-01-2720242149-1402https://doi.org/10.53570/jnt.1467690https://search.trdizin.gov.tr/tr/yayin/detay/1246393https://hdl.handle.net/20.500.12428/17172Let ℘ be a ring. It is shown that if an additive mapping ϑ is a zero-power valued on ℘, then α: ℘→ ℘ such that α=ϑ+1 is a bijective mapping of ℘. The main aim of this study is to prove that ϑ is a homoderivation of ℘ if and only if ϑ: ℘→℘ such that ϑ= α−1 is a semi-derivation associated with α, where α: ℘→℘ is a homomorphism of ℘. Moreover, if ϑ is a zero-power valued homoderivation on ℘, then ϑ is a semi-derivation associated with α, where α: ℘→℘ is an automorphism of ℘ such that α= ϑ+1.eninfo:eu-repo/semantics/openAccessRingsemi-derivationhomoderivationArticle47283810.53570/jnt.14676901246393