title: NIL DERIVATION AND δ-IDEAL ON POLYNOMIAL RING
creator: DITHA , LATHIFATUL MURSYIDAH
subject: 510 Matematika
description: Given a ring R. The additif mapping d : R → R is called derivation if d satisfies  Leibniz’s rule, i.e., d(ab) = d(a)b + ad(b), for every a, b ∈ R. In the special case,  for each x ∈ R there exists a positive integer n which depends on x such that  n  d  (x) = 0, the mapping d is called as a nil derivation on R. The concept of δ-ideal  which is an ideal that remains stable under the derivation operation δ. The research  starting with the construction of nil derivations on polynomial rings, followed by an  investigation of the nilpotency index properties of nil derivations. Furthermore, this  study discusses the relationship between nil derivations and nilpotent derivations  as well as linear combinations of nil derivations. Besides, we give the ilustration  example based on the theorem that we obtained.  Keywords: nil derivation, δ-ideal, linear combinations, polynomial ring.
publisher: FAKULTAS MATEMATIKA DAN ILMU PENGETAHUAN ALAM
date: 2025-01-14
type: Skripsi
type: NonPeerReviewed
format: text
identifier: http://digilib.unila.ac.id/84510/1/ABSTRAK.pdf
format: text
identifier: http://digilib.unila.ac.id/84510/2/SKRIPSI%20FULL.pdf
format: text
identifier: http://digilib.unila.ac.id/84510/3/SKRIPSI%20TANPA%20BAB%20PEMBAHASAN.pdf
identifier:   DITHA , LATHIFATUL MURSYIDAH  (2025) NIL DERIVATION AND δ-IDEAL ON POLYNOMIAL RING.  FAKULTAS MATEMATIKA DAN ILMU PENGETAHUAN ALAM, UNIVERSITAS LAMPUNG.     
relation: http://digilib.unila.ac.id/84510/