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On the set A={a,b,c,d} the table gives the operation 'o' and on the set B={1,2,3,4} the table gives the operation '*'. Find out if there is an isomorphism between groupoids (A,o), (B,*). If there is the isomorphism, find it, otherwise justify its non-existence.

On the set A={a,b,c,d} the table gives the operation 'o' and on the set B={1,2,3,4} the table gives the operation '*'. Find out if there is an isomorphism between groupoids (A,o), (B,*). If there is the isomorphism, find it, otherwise justify its non-existence.

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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On the set A={a,b,c,d} the table gives the operation 'o' and on the set B={1,2,3,4} the table gives the operation '*'.

Find out if there is an isomorphism between groupoids (A,o), (B,*).

If there is the isomorphism, find it, otherwise justify its non-existence.

How am I suppose to find isomorphism? Please, be more specific in explanation, so I can better understand the topic.

Thank you!

b d * 3. 4 a b a a a 1 4 1 b a d 2 4 a a 2 2 4 d a d a b 1 2 3 4 3. 1.
Transcribed Image Text:b d * 3. 4 a b a a a 1 4 1 b a d 2 4 a a 2 2 4 d a d a b 1 2 3 4 3. 1.
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