Timeline for describe subsets of the integers closed under the binary operation Ax+By
Current License: CC BY-SA 2.5
3 events
| when toggle format | what | by | license | comment | |
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| Oct 28, 2010 at 0:06 | comment | added | Tony Huynh | Yes indeed, but I am randomly assuming that in this case that 2 is also in $S$. I am addressing the first part of the question. It is probably hard to characterize $S$ for arbitrary $A$ and $B$, but as a start perhaps we can give simple conditions for when $S=\mathbb{Z}$. | |
| Oct 27, 2010 at 23:59 | comment | added | Nick S | Actually if $A=2, B=-1$ or more generarily $A+B=1$ the minimal set $S$ is $S=\{ 1 \}$. | |
| Oct 27, 2010 at 23:54 | history | answered | Tony Huynh | CC BY-SA 2.5 |