Aboubakr, A. &Gonzalez,S.(2015).GeneralizedReverseDerivationsonSemiprime
Rings. SiberianMathematicalJournal, 56(2), 199–205.
Ali, A.&Shah,T.(2008).Centralizingandcommutinggeneralizedderivationson
prime rings. Matematički Vesnik, 60(231), 1–2
Al Khalaf,A.D.,Artemovych,O.D&Taha,I.(2018).Derivationsindifferentially
prime rings. Journal ofAlgebraandItsApplications, 17(7), 1850129.
Al Khalaf,A.D.,Artemovych,O.D&Taha,I.(2019).Derivationsofdifferentially
semiprime rings. Asian-EuropeanJournalofMathematics, 12(5), 1950079.
Amitsur, S.A.(1971).Ringsofquotientsandmoritacontexts. Journal ofalgebra,
17(2), 273–298.
Artemovych,O.D.&Lukashenko,M.P.(2015).Lieandjordanstructuresof
differentiallysemiprimerings. AlgebraandDiscreteMathematics, 20(1).
Ashraf, M.,Rehman,N.&Quadri,M.A.(1999).On(σ, τ )-derivationsincertain
classes ofrings. Rad.Mat, 9(2), 187–192.
Ashraf, M.,Ali,A.&Ali,S.(2004).OnLieIdealsandGeneralized(θ, Φ)-Derivations
in PrimeRings. CommunicationsinAlgebra, 32(8), 2977–2985.
Ashraf, M.(2005).Onleft(θ, φ)-derivationsofprimerings. ArchivumMathematicum,
41(2), 157–166.
Awtar,R.(1973).Lieandjordanstructureinprimeringswithderivations.
ProceedingsoftheAmericanMathematicalSociety, 41(1), 67–74.
Aydin,N.&Kaya,K.(1992).Somegeneralizationsinprimeringswith(σ, τ )-
derivation. Turk.J.Math, 16, 169–176.
Beidar, K.I.&Chebotar,M.A.(2001).OnLiederivationsofLieidealsofprime
algebras. IsraelJ.Math., 123(1), 131–148.
Bell, H. & Kappe,L.(1989).Ringsinwhichderivationssatisfycertainalgebraic
conditions. ActaMathematicaHungarica, 53(3-4), 339–346.
Bell, H.&Martindale,W.(1987).Centralizingmappingsofsemiprimerings.
Canadian MathematicalBulletin, 30(1), 92–101.
Bergen, Herstein,I.&Kerr.(1981).Lieidealsandderivationsofprimerings. Journal
of Algebra, 71(1), 259–267.
Brauer, R.(1944).Onthearithmeticinagroupring. ProceedingsoftheNational
AcademyofSciences, 30(5), 109–114.
Brešar, M.&Vukman,J.(1988).Jordanderivationsonprimerings. Bulletinofthe
AustralianMathematicalSociety, 37(3), 321–322.
Brešar, M.(1989).Orthogonalderivationsandanextensionofatheoremofposner.
radovimat.Vol, 5, 237–246.
BREŠAR, M.(1990).nonzeroderivationof r. ifanadditivemappingfofrissuch
that f(r)d(r). Math. J.OkayamaUniv, 32, 83–88.
Brešar, M.(1991).Onthedistanceofthecompositionoftwoderivationstothe
generalized derivations. Glasgow MathematicalJournal, 33(1), 89–93.
Brešar, M.(1993).Commutingtracesofbiadditivemappings,commutativity-
preserving mappingsandLiemappings. Trans.Amer.Math.Soc., 335, 525–546.
Brešar, M.Cabrera,M.&Villena,A.R.(2002).FunctionalidentitiesinJordan
algebras andassociatingmaps Comm. Algebra, 30(11), 5241–5252.
Brešar, M.Chebotar,M.A.&Martindale,W.S.(2007). Functionalidentities,
Springer Science&BusinessMedia.
Chuang,C.L.(1989).Onnilpotentderivationsofprimerings. Proceedingsofthe
AmericanMathematicalSociety, 107(1), 67–71.
Chung,L.&Luh,J.(1978).Onsemicommutingautomorphismsofrings. Canadian
MathematicalBulletin, 21(1), 13–16.
Daif, M.N&Bell,H.E(1992).Remarksonderivationsonsemiprimerings.
International JournalofMathematicsandMathematicalSciences, 15, 205–206.
Divinsky, N. (1955).Oncommutingautomorphismsofrings. Trans.Roy.Soc.
Canada. Sect, 3(3), 4–9.
Dummit, D.S&Foote,R.M(1991). Abstractalgebra (Vol.1999).PrenticeHall
EnglewoodCliffs,NJ.
Fraenkel,A.(1915).Überdieteilerdernullunddiezerlegungvonringen. Unpublished
preprint.
France-Jackson,H.(1993).Onprimeessentialrings. BulletinoftheAustralian
MathematicalSociety, 47(2), 287–290.
Golbasi,O. &Aydin,N.(2002).Someresultsonendomorphismsofprimeringwhich
are (σ, τ ) -derivation. East Asianmathematicaljournal, 18(2), 195–203.
Grillet, P.A.(2007). Abstractalgebra (Vol.242).SpringerScience&BusinessMedia.
Herstein, I.(1957).Jordanderivationsofprimerings. ProceedingsoftheAmerican
MathematicalSociety, 8(6), 1104–1110.
Herstein, I.(1961).LieandJordanstructuresinsimple,associativerings. Bull.Amer.
Math. Soc.. 67(6), 517–531.
Herstein, I.(1969).Topicsinringtheory ser. ChicagoLecturesinMathematics. The
UniversityofChicagoPress.
Herstein, I.(1970).Ontheliestructureofanassociativering. Journal ofAlgebra,
14(4), 561–571.
Herstein, I.(1978).Anoteonderivations. Canadian MathematicalBulletin, 21(3),
369–370.
Herstein, I.N.(1994). Noncommutativerings (Vol.15).AmericanMathematical
Soc.
Hilbert,D.(1932).DietheoriederalgebraischenZahlkörper. Springer, 63–363.
Hirano, Y.,Kaya,A.&Tominaga,H.(1983).Onatheoremofmayne. Mathematical
Journal ofOkayamaUniversity, 25(2), 125–132.
Hirano, Y. & Tminaga,H.(1984).Somecommutativitytheoremsforprimeringswith
derivationsanddifferentiallysemiprimerings. MathematicalJournalofOkayama
University, 26(1), 101–108.
Hirano, Y.,Tominaga,H.&Trzepizur,A.(1985).OnatheoremofPosner.
MathematicalJournalofOkayamaUniversity, 27(1), 19–23.
Huang, S.(2019).GeneralizedReverseDerivationsandCommutativityofPrime
Rings. CommunicationsinMathematics, 27(1), 43–50.
Hvala,B.(1998).Generalizedderivationsinrings. CommunicationsinAlgebra, 26(4),
1147–1166.
Ibraheem, A.M.(2016).RightIdealsandGeneralizedReverseDerivationsonPrime
Rings. AmericanJournalofComputationalandAppliedMathematics, 6(4), 162–
164.
Jacobson, N.(1937).Abstractderivationandliealgebras. Transactionsofthe
AmericanMathematicalSociety, 42(2), 206–224.
Jacobson, N.(1943). The theoryofrings (No. 2).AmericanMathematicalSoc.
Jordan, C.&Jordan,D.(1978).Lieringsofderivationsofassociativerings. Journal
of theLondonMathematicalSociety, 2(17), 33–41.
Jung, Y.S.&Park,K.H.(2006).Ongeneralized(α, β)-derivationsand
commutativityinprimerings. BulletinoftheKoreanMathematicalSociety,
189(1), 101–106.
Kaplansky,I.(1956). Lie algebras. UniversityofChicago,DepartmentofMathematics
Press.
Kolchin,E.R.(1973). Differentialalgebra & algebraicgroups. Academicpress.
Lam, T.Y(2012). Lecturesonmodulesandrings (Vol.189).SpringerScience&
Business Media.
Landau, E.(1903).UeberdiezueinemalgebraischenZahlkörpergehörige
Zetafunction unddieAusdehnungderTschebyschefschenPrimzahlentheorieauf
das ProblemderVertheilungderPrimideale. WalterdeGruyter,Berlin/New
YorkBerlin,NewYork.
Macdonald, I. D (1979).Somegroupelementsdefinedbycommutators. Math Scientist
Journal, 4, 129–131.
Marker,D.,Messmer,M.&Pillay,A.(2017). Modeltheoryoffields (Vol.5).
CambridgeUniversityPress.
Martindale III,W.S(1964).Liederivationsofprimitiverings. Michigan
MathematicalJournal, 11(2), 183–187.
Mayne,J.H(1976).Centralizingautomorphismsofprimerings. Canadian
MathematicalBulletin, 19(1), 113–115.
Mayne,J.H(1982).Idealsandcentralizingmappingsinprimerings. Proceedingsof
the AmericanathematicalSociety, 86(2), 211–212.
Mayne,J.H(1984).Centralizingmappingsofprimerings. Canadian Mathematical
Bulletin, 27(1), 122–126.
Noether,E.(1921).Idealtheorieinringbereichen. Mathematische Annalen, 83(1),
24–66.
Nowicki,A.(1985).Theliestructureofacommutativeringwithaderivation. Archiv
der Mathematik, 45(4), 328–335.
Ozge, A.,Neset,A.&Albayrak,B.(2018).Generalizedreversederivationsonclosed
Lie ideals. Journal ofScientificPerspectives, 2(3), 61–74.
Posner,E.C.(1957).Derivationsinprimerings. ProceedingsoftheAmerican
MathematicalSociety, 8(6), 1093–1100.
Posner,E.C.(1960).Differentiablysimplerings. ProceedingsoftheAmerican
MathematicalSociety, 11(3), 337–343.
Quadri, M.,Khan,M.S.&Rehman,N.(2003).Generalizedderivationsand
commutativityop. Indian J.pureappl.Math, 34(9), 1393–1396.
Rehman, N.(2002).Oncommutativityofringswithgeneralizedderivations. Math.
J OkayamaUniv, 44(2), 43–49.
Ritt, J.F(1950). Differentialalgebra (Vol.33).AmericanMathematicalSoc.
Rowen, L.H.(1974).Asubdirectdecompositionofsemiprimeringsand
its applicationtomaximalquotientrings. ProceedingsoftheAmerican
MathematicalSociety, 46(2), 176–180.
Samman, M.&Alyamani,N.(2007).Derivationsandreversederivationsinsemiprime
rings. International MathematicalForum, 2(39), 1895–1902.
Samman, M.&Thaheem,A.(2003).Derivationsonsemiprimerings. International
Journal ofPureandAppliedMathematics, 5(4), 465–472.
Trzepizur,A.(1984).Surcertainesconditionspourlacommutativité;desanneaux
différentielssemi-premiers. MathematicalJournalofOkayamaUniversity, 26(1),
129–131.
Vukman,J.(1996).Derivationsonsemiprimerings. BulletinoftheAustralian
MathematicalSociety, 53(3), 353–359.
Yenigul,M.&Argac,N.(1994).Onprimeandsemiprimeringswith α-derivations.
TurkishJ.Math, 18, 280–284.
Zaidi, S.M.A.,Ashraf,M.&Ali,S.(2004).Onjordanidealsandleft(θ, θ)-derivations
in primerings. International JournalofMathematicsandMathematicalSciences,
2004(37), 1957–1964.