A study on commutativity of prime near-rings via generalized derivation Department:Mathematics and Statistics By: EmmyICT Project ID: 7308 Rating: (5.0) votes: 1 Price:₦2000 Get the Complete MaterialAbstractIn this project, we study the commutativity of prime near-rings via generalized derivation and we proved the following results (a) Let N be a 3-torsion free prime near-ring with a generalized derivation F associated with a non-zero idempotent derivation D of N, if F^2[x,y][x,y] for all x,y N then N is commutative. (b) Let N be a 3-torsion free prime near-ring with identity and F a generalized derivation associated with a non-zero idempotent derivation D on N. If k(-1) -k for all nN and F^2 (xoy)-(xoy)0 for all x,yN, then N is commutative. (c) Let N be a 5-torsion free prime near-ring with a generalized derivation F associated with a non-zero idempotent derivation D on N, then N is commutative if F^2[x,y] +[x,y]0 for all x,yN. (d) Let N be a 5-torsion free prime near-ring with identity and F a generalized derivation associated with a non-zero idempotent derivation D on N, then N is commutative if k(-1)-k for all nN and F^2 (xoy)+(xoy)0 for all x,yN....Preview Download Preview +Other Mathematics and Statistics project topics and materials you might be interested in»Statistical Quality Control of Premier Soap in Soap Manufacturing Industry ( A Case Study of PZ Cusson PLC Aba Abia State)»Statistical analysis of students’ height and weight (case study of federal polytechnic Nekede, Owerri, Imo state) »Statistical analysis of unemployment rate among age groups and geographical locations in Nigeria»Statistical analysis of the problems associated with skill acquisition in Nigeria (a case study of male tailors in Imo state)»Application of linear programming technique to profit maximization in the production of soap (a case study of Promotex industrial and chemical company limited, Nnewi, Anambra state) »Statistical analysis of foster care and adoption rate in Abia state (a case study of motherless babies home Ahiaeke, Umuahia)»Determination of nutritional status of children within the ages of four (4) to ten (10) years using their body mass index (BMI)»Time series analysis on marriage registration in Ilorin, Kwara state»Statistical analysis on impact of parental hood on academic performance»Application of multiple queuing model in evaluating the efficiency of service in UBA bank»Econometrics analysis of gross national income on consumption expenditure of federal republic of Nigeria between (2011)»Statistical analysis of factors affecting crime in Imo state»Determinant of foreign direct investment in Nigeria and its effect on Nigerian economy: an empirical analysis»A statistical analysis of coal production in Nigeria - a case study of Nigeria coal corporation from 2000-2009»Statistical analysis on academic performance of students in Federal Polytechnic Offa