<> "The repository administrator has not yet configured an RDF license."^^ . <> . . "NIL DERIVATION AND δ-IDEAL ON POLYNOMIAL RING"^^ . "Given a ring R. The additif mapping d : R → R is called derivation if d satisfies\r\nLeibniz’s rule, i.e., d(ab) = d(a)b + ad(b), for every a, b ∈ R. In the special case,\r\nfor each x ∈ R there exists a positive integer n which depends on x such that\r\nn\r\nd\r\n(x) = 0, the mapping d is called as a nil derivation on R. The concept of δ-ideal\r\nwhich is an ideal that remains stable under the derivation operation δ. The research\r\nstarting with the construction of nil derivations on polynomial rings, followed by an\r\ninvestigation of the nilpotency index properties of nil derivations. Furthermore, this\r\nstudy discusses the relationship between nil derivations and nilpotent derivations\r\nas well as linear combinations of nil derivations. Besides, we give the ilustration\r\nexample based on the theorem that we obtained.\r\nKeywords: nil derivation, δ-ideal, linear combinations, polynomial ring."^^ . "2025-01-14" . . . . . "FAKULTAS MATEMATIKA DAN ILMU PENGETAHUAN ALAM"^^ . . . . . . . "LATHIFATUL MURSYIDAH"^^ . "DITHA "^^ . "LATHIFATUL MURSYIDAH DITHA "^^ . . . . . . "NIL DERIVATION AND δ-IDEAL ON POLYNOMIAL RING (File PDF)"^^ . . . "ABSTRAK.pdf"^^ . . . "NIL DERIVATION AND δ-IDEAL ON POLYNOMIAL RING (File PDF)"^^ . . . "NIL DERIVATION AND δ-IDEAL ON POLYNOMIAL RING (File PDF)"^^ . . . "SKRIPSI TANPA BAB PEMBAHASAN.pdf"^^ . . . "NIL DERIVATION AND δ-IDEAL ON POLYNOMIAL RING (Other)"^^ . . . . . . "indexcodes.txt"^^ . . . "NIL DERIVATION AND δ-IDEAL ON POLYNOMIAL RING (Other)"^^ . . . . . . "NIL DERIVATION AND δ-IDEAL ON POLYNOMIAL RING (Other)"^^ . . . . . . "indexcodes.txt"^^ . . . "NIL DERIVATION AND δ-IDEAL ON POLYNOMIAL RING (Other)"^^ . . . . . . "lightbox.jpg"^^ . . . "NIL DERIVATION AND δ-IDEAL ON POLYNOMIAL RING (Other)"^^ . . . . . . "preview.jpg"^^ . . . "NIL DERIVATION AND δ-IDEAL ON POLYNOMIAL RING (Other)"^^ . . . . . . "medium.jpg"^^ . . . "NIL DERIVATION AND δ-IDEAL ON POLYNOMIAL RING (Other)"^^ . . . . . . "small.jpg"^^ . . . "NIL DERIVATION AND δ-IDEAL ON POLYNOMIAL RING (Other)"^^ . . . . . . "NIL DERIVATION AND δ-IDEAL ON POLYNOMIAL RING (Other)"^^ . . . . . . "NIL DERIVATION AND δ-IDEAL ON POLYNOMIAL RING (Other)"^^ . . . . . . "NIL DERIVATION AND δ-IDEAL ON POLYNOMIAL RING (Other)"^^ . . . . . . "NIL DERIVATION AND δ-IDEAL ON POLYNOMIAL RING (Other)"^^ . . . . . . "lightbox.jpg"^^ . . . "NIL DERIVATION AND δ-IDEAL ON POLYNOMIAL RING (Other)"^^ . . . . . . "preview.jpg"^^ . . . "NIL DERIVATION AND δ-IDEAL ON POLYNOMIAL RING (Other)"^^ . . . . . . "medium.jpg"^^ . . . "NIL DERIVATION AND δ-IDEAL ON POLYNOMIAL RING (Other)"^^ . . . . . . "small.jpg"^^ . . "HTML Summary of #84510 \n\nNIL DERIVATION AND δ-IDEAL ON POLYNOMIAL RING\n\n" . "text/html" . . . "510 Matematika" . .