Timeline for Categorical definition of the ideal product within the category of rings
Current License: CC BY-SA 3.0
13 events
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| Nov 23, 2021 at 21:26 | vote | accept | Martin Brandenburg | ||
| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
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| Jan 3, 2017 at 5:56 | answer | added | user13113 | timeline score: 4 | |
| Aug 8, 2013 at 22:15 | answer | added | Buschi Sergio | timeline score: -5 | |
| Aug 8, 2011 at 14:17 | comment | added | Martin Brandenburg | Very interesting paper! I've just started to read it, but it seems to answer a variant of my question. Namely, it gives a (in fact categorical) characterization of the operation $(I,J) \mapsto IJ+JI$ on pairs of ideals in a varying noncommutative ring. Probably the same works in the commutative case, where we get $IJ$. The only difference to my question is that here we consider the operation globally, not just for a fixed ring. | |
| Aug 8, 2011 at 10:47 | comment | added | Pasha Zusmanovich | A very vague remark: perhaps this is related to the notion of commutator in varieties of algebraic systems, see, e.g., R. Freese and R. McKenzie, Commutator Theory for Congruence Modular Varieties, London Math. Soc. Lect. Note Ser. 125 (1987). If so, the "correct" notion is not just the product IJ of ideals, but their "commutator" IJ+JI. | |
| Jul 9, 2011 at 19:41 | comment | added | Martin Brandenburg | ? en.wikipedia.org/wiki/Product_of_ideals#Ideal_operations | |
| Jul 9, 2011 at 12:44 | comment | added | Zoran Skoda | Notation: what is your I*J ? The ideal containing all the products ij where i in I and j in J ? | |
| Jul 9, 2011 at 8:47 | history | edited | Martin Brandenburg | CC BY-SA 3.0 |
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| Jul 8, 2011 at 8:55 | history | edited | Martin Brandenburg | CC BY-SA 3.0 |
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| Jun 29, 2011 at 8:49 | history | edited | Martin Brandenburg | CC BY-SA 3.0 |
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| Jun 28, 2011 at 19:58 | history | edited | Martin Brandenburg | CC BY-SA 3.0 |
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| Jun 28, 2011 at 17:42 | history | asked | Martin Brandenburg | CC BY-SA 3.0 |