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Tagged with magma cayley-table
5
questions
0
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0
answers
62
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What is the formal definition of a Cayley table?
What is the formal definition of a Cayley table? I am not interested merely in Cayley tables for groups, I am interested in general Cayley tables for non-empty finite magmas. Also, another question is,...
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2
votes
1
answer
238
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Fill in a partly filled in table such that it makes the magma $(M,*)$ associative, commutative, has an identity element and has no zero-elements.
Below is a partly filled in table for a binary operation ($*$) on the set $M=\{a,b,c,d\}$. I am trying to fill in the rest such that the magma $(M,*)$ becomes associative, commutative, has an identity ...
- 417
1
vote
1
answer
408
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What is the identity element of 4
If $*$ is a binary operation taking the greater of two distinct numbers, construct a table for the operation on the set $S=\{1,2,3,4,5\}$. What is the identity element of 4? Is the operation ...
- 11
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2
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prove no identity element in the given Cayley Table of three elements
Prove that the operation in the following Cayley table has no identity element:
$$
\begin{array}{c|ccc}
\hline
* & u & v & w \\
\hline
u & u & w & w \\
v & v & v & ...
- 2,935
62
votes
7
answers
20k
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Is there an easy way to see associativity or non-associativity from an operation's table?
Most properties of a single binary operation can be easily read of from the operation's table. For example, given
$$\begin{array}{c|ccccc}
\cdot & a & b & c & d & e\\\hline
a &...
- 43.7k