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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
100%

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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Groups
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,