Timeline for describe subsets of the integers closed under the binary operation Ax+By
Current License: CC BY-SA 2.5
16 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 28, 2010 at 20:55 | answer | added | Aaron Meyerowitz | timeline score: 0 | |
| Oct 28, 2010 at 16:13 | vote | accept | mmm | ||
| Oct 28, 2010 at 1:59 | answer | added | Gerry Myerson | timeline score: 6 | |
| Oct 28, 2010 at 0:08 | answer | added | Gerhard Paseman | timeline score: 0 | |
| Oct 27, 2010 at 23:54 | answer | added | Tony Huynh | timeline score: 1 | |
| Oct 27, 2010 at 23:49 | answer | added | Nick S | timeline score: 0 | |
| Oct 27, 2010 at 23:47 | answer | added | Bugs Bunny | timeline score: 0 | |
| Oct 27, 2010 at 21:43 | history | edited | mmm | CC BY-SA 2.5 |
deleted 151 characters in body
|
| Oct 27, 2010 at 21:43 | comment | added | mmm | @Fiktor: true, thank you!...I'd delete my answers. The question still remains, though. | |
| Oct 27, 2010 at 21:21 | comment | added | Fiktor | Your claim about "it's an arithmetical progression in the case A=B" is wrong. You can just write the terms of minimal $S$ containing 1 as polynomials in A, and note that for any $d$ there is only finite number of polynomials in $S$, whose degree is less than $d$. And in the case $A=2$, $B=1$ you get $S$ equal to the set of odd positive numbers, i.e. just one arithmetical progression. | |
| Oct 27, 2010 at 20:49 | history | edited | mmm | CC BY-SA 2.5 |
added 142 characters in body; added 6 characters in body
|
| Oct 27, 2010 at 20:47 | comment | added | mmm | @Yuan: yes, A and B are fixed. @Robin: yes, true. (Shall add this in the main post). Sorry about being unclear. | |
| Oct 27, 2010 at 20:26 | comment | added | Robin Chapman | I can't figure out what you mean: $Ax+By$ whatever it is, is not a "binary operation". So does "$A=2$, $B=1$" mean that if $x$ and $y$ are elements of your set, then $2x+y$ is? | |
| Oct 27, 2010 at 20:21 | answer | added | ohai | timeline score: 0 | |
| Oct 27, 2010 at 20:17 | comment | added | Qiaochu Yuan | Are A and B fixed? | |
| Oct 27, 2010 at 20:15 | history | asked | mmm | CC BY-SA 2.5 |