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R denotes the set of real numbers and (*) is an operation on R such that a * B = a +B+ aß for all α, β, ε R. If SCR, then which one of the following pairs is an abelian group? (a) {S, •}, S = R (b) {S, *},S = R\{0} (c) {S, +}, S = R\(1} (d) {S, +}, s = R\{–1}

R denotes the set of real numbers and (*) is an operation on R such that a * B = a +B+ aß for all α, β, ε R. If SCR, then which one of the following pairs is an abelian group? (a) {S, •}, S = R (b) {S, *},S = R\{0} (c) {S, +}, S = R\(1} (d) {S, +}, s = R\{–1}

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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R denotes the set of real numbers and (*) is an operation on R such that a * B = a +B+ aß for all a, β, ε R. If SCR, then which one of the following pairs is an abelian group? (a) {S, •}, S = R (b) {S, *},S = R\{0} (c) {S, *},S = R\(1} (d) {S, +}, S = R\{– 1}
Transcribed Image Text:R denotes the set of real numbers and (*) is an operation on R such that a * B = a +B+ aß for all a, β, ε R. If SCR, then which one of the following pairs is an abelian group? (a) {S, •}, S = R (b) {S, *},S = R\{0} (c) {S, *},S = R\(1} (d) {S, +}, S = R\{– 1}
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