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The set R = { f | f i s a function from Z to R} under the binary operations + and . defined as (f + g ) as (f + g)(n) = f(n) + g(n) and   for all n ε Z forms a ring. Let S1 = { f ε R I f(-n) = f(n) or all n ε Z} and S2 = { f ε R | f ( 0 ) = 0}. Then
  • a)
    S1 and S2 are both ideals in R
  • b)
    S1 is an ideal in R while S2 is not
  • c)
    S2 is an ideal in R while S, is not
  • d)
    neither S1 nor S2 is ideal in R
Correct answer is option 'C'. Can you explain this answer?
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The set R = { f| fi s a function from Z to R} under the binary operations + and .defined as (f + g ) as (f + g)(n) = f(n)+ g(n) and for all n ε Z forms a ring. Let S1={ fεR I f(-n) = f(n) or all n ε Z} and S2 = { f ε R | f ( 0 ) = 0}. Thena)S1and S2are both ideals in Rb)S1is an ideal in R while S2is notc)S2is an ideal in R while S1, is notd)neither S1 nor S2 is ideal in RCorrect answer is option 'C'. Can you explain this answer?
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The set R = { f| fi s a function from Z to R} under the binary operations + and .defined as (f + g ) as (f + g)(n) = f(n)+ g(n) and for all n ε Z forms a ring. Let S1={ fεR I f(-n) = f(n) or all n ε Z} and S2 = { f ε R | f ( 0 ) = 0}. Thena)S1and S2are both ideals in Rb)S1is an ideal in R while S2is notc)S2is an ideal in R while S1, is notd)neither S1 nor S2 is ideal in RCorrect answer is option 'C'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about The set R = { f| fi s a function from Z to R} under the binary operations + and .defined as (f + g ) as (f + g)(n) = f(n)+ g(n) and for all n ε Z forms a ring. Let S1={ fεR I f(-n) = f(n) or all n ε Z} and S2 = { f ε R | f ( 0 ) = 0}. Thena)S1and S2are both ideals in Rb)S1is an ideal in R while S2is notc)S2is an ideal in R while S1, is notd)neither S1 nor S2 is ideal in RCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The set R = { f| fi s a function from Z to R} under the binary operations + and .defined as (f + g ) as (f + g)(n) = f(n)+ g(n) and for all n ε Z forms a ring. Let S1={ fεR I f(-n) = f(n) or all n ε Z} and S2 = { f ε R | f ( 0 ) = 0}. Thena)S1and S2are both ideals in Rb)S1is an ideal in R while S2is notc)S2is an ideal in R while S1, is notd)neither S1 nor S2 is ideal in RCorrect answer is option 'C'. Can you explain this answer?.
Solutions for The set R = { f| fi s a function from Z to R} under the binary operations + and .defined as (f + g ) as (f + g)(n) = f(n)+ g(n) and for all n ε Z forms a ring. Let S1={ fεR I f(-n) = f(n) or all n ε Z} and S2 = { f ε R | f ( 0 ) = 0}. Thena)S1and S2are both ideals in Rb)S1is an ideal in R while S2is notc)S2is an ideal in R while S1, is notd)neither S1 nor S2 is ideal in RCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mathematics. Download more important topics, notes, lectures and mock test series for Mathematics Exam by signing up for free.
Here you can find the meaning of The set R = { f| fi s a function from Z to R} under the binary operations + and .defined as (f + g ) as (f + g)(n) = f(n)+ g(n) and for all n ε Z forms a ring. Let S1={ fεR I f(-n) = f(n) or all n ε Z} and S2 = { f ε R | f ( 0 ) = 0}. Thena)S1and S2are both ideals in Rb)S1is an ideal in R while S2is notc)S2is an ideal in R while S1, is notd)neither S1 nor S2 is ideal in RCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of The set R = { f| fi s a function from Z to R} under the binary operations + and .defined as (f + g ) as (f + g)(n) = f(n)+ g(n) and for all n ε Z forms a ring. Let S1={ fεR I f(-n) = f(n) or all n ε Z} and S2 = { f ε R | f ( 0 ) = 0}. Thena)S1and S2are both ideals in Rb)S1is an ideal in R while S2is notc)S2is an ideal in R while S1, is notd)neither S1 nor S2 is ideal in RCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for The set R = { f| fi s a function from Z to R} under the binary operations + and .defined as (f + g ) as (f + g)(n) = f(n)+ g(n) and for all n ε Z forms a ring. Let S1={ fεR I f(-n) = f(n) or all n ε Z} and S2 = { f ε R | f ( 0 ) = 0}. Thena)S1and S2are both ideals in Rb)S1is an ideal in R while S2is notc)S2is an ideal in R while S1, is notd)neither S1 nor S2 is ideal in RCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of The set R = { f| fi s a function from Z to R} under the binary operations + and .defined as (f + g ) as (f + g)(n) = f(n)+ g(n) and for all n ε Z forms a ring. Let S1={ fεR I f(-n) = f(n) or all n ε Z} and S2 = { f ε R | f ( 0 ) = 0}. Thena)S1and S2are both ideals in Rb)S1is an ideal in R while S2is notc)S2is an ideal in R while S1, is notd)neither S1 nor S2 is ideal in RCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The set R = { f| fi s a function from Z to R} under the binary operations + and .defined as (f + g ) as (f + g)(n) = f(n)+ g(n) and for all n ε Z forms a ring. Let S1={ fεR I f(-n) = f(n) or all n ε Z} and S2 = { f ε R | f ( 0 ) = 0}. Thena)S1and S2are both ideals in Rb)S1is an ideal in R while S2is notc)S2is an ideal in R while S1, is notd)neither S1 nor S2 is ideal in RCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Mathematics tests.
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