How to Represent Quotients in Latex?

[Math Amateur]

I have just finished a post on the Linear and Abstract Algebra Forum on Universal Properties,

I am having trouble with the following line of Latex: \(\displaystyle [a_1]_\sim_R , [a_3]_\sim_R , [a_5]_\sim_R , [a_7]_\sim_R, [a_8]_\sim_R \)

The effect that I wanted for each quotient was as follows:

View attachment 2632

Can someone please help?

Peter

 

[Ackbach]

I have just finished a post on the Linear and Abstract Algebra Forum on Universal Properties,

I am having trouble with the following line of Latex: \(\displaystyle [a_1]_\sim_R , [a_3]_\sim_R , [a_5]_\sim_R , [a_7]_\sim_R, [a_8]_\sim_R \)

Can someone please help?

Peter

Try

[a_1]_{\sim_R} ,  [a_3]_{\sim_R} ,  [a_5]_{\sim_R} , [a_7]_{\sim_R}, [a_8]_{\sim_R}

 

[Math Amateur]

Try

[a_1]_{\sim_R} ,  [a_3]_{\sim_R} ,  [a_5]_{\sim_R} , [a_7]_{\sim_R}, [a_8]_{\sim_R}

That solved my Latex problem ... thanks Ackbach ,,, appreciate your help!

Peter

 

[Ackbach]

You're quite welcome!

 

[alphy]

Hello Peter,

I am a fellow scientist and I would be happy to help you with your Latex line. From what I understand, you are trying to represent a series of elements [a] in the quotient group R. In order to do this, you can use the "frac" command in Latex to create a fraction with the elements on the numerator and denominator. For example, the first element [a_1] can be written as \frac{a_1}{1} to represent it in the quotient group R. Similarly, the other elements can be written as \frac{a_3}{1}, \frac{a_5}{1}, \frac{a_7}{1}, and \frac{a_8}{1}. This will give you the desired effect of each quotient being represented as a fraction.

I hope this helps and let me know if you have any further questions. Keep up the good work on the Linear and Abstract Algebra Forum!

Best,