# Talk:Comma basis

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## left/right kernel

Technically there are two kernels, the left and right ones. To get the comma basis from a map you get the right kernel. To get the map from a comma basis you use the left one. They are related by the transpose (i.e. right kernel of A^T is left kernel of A). No need for anti-transposes. I understand you take the anti-transpose to get the commas in a nicer form, but this depends on the algorithm used for calculating the kernel and is not necessary.

- Sintel (talk) 21:09, 30 December 2021 (UTC)

- That's a good clarification. If you'd like to modify the article to better convey this, please feel free. --Cmloegcmluin (talk) 04:44, 31 December 2021 (UTC)

- Okay, I found some time and went ahead and took care of it myself. Thanks again, Sintel. --Cmloegcmluin (talk) 18:24, 3 January 2022 (UTC)