Timeline for Why do we associate a graph to a ring?
Current License: CC BY-SA 4.0
6 events
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| Oct 15, 2020 at 20:58 | comment | added | Benjamin Steinberg | @Lspice, (ctd) It seems clear from the question that the OP is asking where is the origin of looking at this type of graph and why do so many people write about them. And "clarify" should be "classify." | |
| Oct 15, 2020 at 20:53 | comment | added | Benjamin Steinberg | @LSpice, I don't think the question is actually very broad but I think it has been interpreted in the answers more broadly than intended. There are a community of people who look at graphs associated to groups, rings, semigroups and semirings by taking some subset of the algebraic structure and connecting two elements by am edge if the have some algebraic relation like commuting, having product 0, being powers of each other etc. Initially as my answer indicates people studied these for a reason. Now many people try to clarify all groups, rings, etc whose commuting graph etc has property X | |
| Oct 15, 2020 at 16:23 | comment | added | LSpice | @Math_Freak, I think that it is too much to ask anyone to explain the primary reason, singular. As @HJRW pointed out elsewhere, you've asked an extremely broad question, so of course it will have an extremely broad range of answers. One reason to associate a graph to an algebraic structure is to help with visualisation, but that doesn't mean it's the primary reason—or that, if it is the primary reason for one person, it should be so for anyone else. | |
| Oct 15, 2020 at 12:15 | comment | added | Charlotte | So, does it mean that the primary reason we associate a graph to an algebraic structure is we want to visualise and help our brains? | |
| Oct 15, 2020 at 11:58 | history | made wiki | Post Made Community Wiki by Todd Trimble | ||
| Oct 15, 2020 at 9:40 | history | answered | Johannes Hahn | CC BY-SA 4.0 |