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Check the commutativity and associativ...

Check the commutativity and associativity of * on `N` defined by a*b=`gcd(a ,\ b)` for all `a ,\ b in N` .

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RD SHARMA ENGLISH-BINARY OPERATIONS-All Questions
  1. Check the commutativity and associativity of * on Q defined bya*b= (...

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  2. Check the commutativity and associativity of * on Z defined bya*b= a...

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  3. Check the commutativity and associativity of * on N defined by a*b=g...

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  4. Let S be the set of all rational number except 1 and * be defined ...

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  5. Show that the binary operation * on Z defined by a*b=3a+7b is not co...

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  6. On the set Z of integers a binary operation * is defined by a*b=a b+...

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  7. Q, the set of all rational number, * is defined by a*b=(a-b)/2 , show ...

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  8. On Z , the set of all integers, a binary operation * is defined by a...

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  9. On the set Q of all rational numbers if a binary operation * is defi...

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  10. The binary operation * is defined by a*b=(a b)/7 on the set Q of all...

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  11. On Q , the set of all rational numbers a binary operation * is defin...

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  12. Let S be the set of all rational number except 1 and * be defined ...

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  13. Let S be the set of all rational number except 1 and * be defined ...

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  14. If * defined on the set R of real numbers by a*b= (3a b)/7 , find the ...

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  15. Find the identity element in set Q^+ of all positive rational numbers ...

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  16. If * is defined on the set R of all real numbers by a*b=sqrt(a^2+b^2) ...

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  17. Let S be a non-empty set and P(s) be the power set of set S. Find the ...

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  18. Let S be a non- empty set and P (s) be the power set of set S .Find th...

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  19. Find the identity element in the set I^+ of all positive integers ...

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  20. Find the identity element in the set of all rational numbers except ...

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