Unique factorization domain: Revision history

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curprev 10:3010:30, 25 April 2025 1234qwer1234qwer4 talk contribs m 13,994 bytes +46 →Examples: lklk

curprev 17:2317:23, 5 September 2024 Filipjack talk contribs 13,948 bytes −58 There's no point in forcing the units to be part of the definition. The standard approach is to consider x to be non-zero and non-unit. Tag: Visual edit

curprev 00:0300:03, 2 September 2024 Turtlens talk contribs 14,006 bytes +412 →References

curprev 23:1323:13, 10 May 2024 David Eppstein talk contribs 13,594 bytes −1 →Properties: fix link

curprev 19:1519:15, 3 February 2024 Bm319 talk contribs 13,595 bytes +91 No edit summary

curprev 21:0121:01, 10 November 2023 Quondum talk contribs 13,504 bytes +6 →Equivalent conditions for a ring to be a UFD: Albeit not a typical reference, this belongs in the form of a footnote
curprev 20:5820:58, 10 November 2023 Quondum talk contribs 13,498 bytes +4 →Examples: ital explicit reference to article
curprev 20:4920:49, 10 November 2023 Quondum talk contribs 13,494 bytes −7 →Definition: fixing weird construction ("product" applies only to the irreducable elements when the parenthesis is included); also no need to invoke the empty product

curprev 14:2914:29, 9 November 2023 Quondum talk contribs 13,501 bytes −50 replacing <nowiki>[[</nowiki>...<nowiki>]]</nowiki> with {{brackets|...}}
curprev 14:2114:21, 9 November 2023 Quondum talk contribs 13,551 bytes +264 formatting; citation cleanup

curprev 12:1112:11, 8 November 2023 Kku talk contribs m 13,287 bytes +4 link [cC]omplex number

curprev 22:3422:34, 13 September 2023 Ebrussel talk contribs m 13,283 bytes −270 →Definition: I deleted a wrong statement; it is not true that prime and irreducible are equivalent. See the Wikipedia article on prime elements. In a unique factorization domain they are equivalent, but this can't be assumed before it is proved. Tag: 2017 wikitext editor
curprev 22:2722:27, 13 September 2023 Ebrussel talk contribs m 13,553 bytes −24 The stated definition was wrong, according to e.g. Herstein, Topics in Algebra. I replaced "prime elements (or irreducible elements)" with "irreducible elements". In general an irreducible element is not prime, so this is important. Tag: 2017 wikitext editor

curprev 20:1820:18, 29 June 2023 Sammi Brie talk contribs 13,577 bytes +46 Adding local short description: "Type of integral domain", overriding Wikidata description "integral domain where every nonzero element is uniquely expressible as a product of prime elements" Tag: Shortdesc helper

curprev 04:5604:56, 6 January 2023 Citation bot talk contribs 13,531 bytes +123 Add: jstor, issue, isbn, publisher, year. | Use this bot. Report bugs. | Suggested by Abductive | Category:Algebraic number theory | #UCB_Category 30/126

curprev 09:4109:41, 21 December 2022 ToBeFree talk contribs 13,408 bytes +22 Adding {{pp-sock}} Tag: Twinkle
curprev 09:4109:41, 21 December 2022 ToBeFree talk contribs m 13,386 bytes 0 Protected "Unique factorization domain": Persistent sock puppetry ([Edit=Require autoconfirmed or confirmed access] (indefinite)) Tag: Twinkle

curprev 15:1715:17, 20 December 2022 MrOllie talk contribs m 13,386 bytes −775 Reverted 1 edit by 2001:B042:4005:4B13:7D6F:973:DC6F:BEAB (talk) to last revision by Defender Tags: Twinkle Undo
curprev 15:1315:13, 20 December 2022 2001:b042:4005:4b13:7d6f:973:dc6f:beab talk 14,161 bytes +775 No edit summary Tags: Manual revert Reverted

curprev 13:4713:47, 19 December 2022 Elton talk contribs m 13,386 bytes −775 revert, LTA, User:Xayahrainie43 Tags: Rollback Reverted
curprev 12:3612:36, 19 December 2022 210.242.153.204 talk 14,161 bytes +775 No edit summary Tags: Manual revert Reverted

curprev 11:1411:14, 15 December 2022 Certes talk contribs 13,386 bytes −775 Undid revision 1127552496 by 2402:7500:900:3B29:A1CC:1C68:B7D7:A768 (talk): unexplained major change Tags: Undo Reverted
curprev 10:3810:38, 15 December 2022 2402:7500:900:3b29:a1cc:1c68:b7d7:a768 talk 14,161 bytes +775 No edit summary Tags: Manual revert Reverted

curprev 19:2019:20, 29 November 2022 MusikBot II talk contribs m 13,386 bytes −17 Removing protection templates from unprotected page (more info) Tags: Manual revert Reverted

curprev 05:3705:37, 1 November 2022 David Eppstein talk contribs m 13,403 bytes −758 Reverted edits by 星宮莓五六不能亡 (talk) to last version by MusikBot II Tags: Rollback Reverted
curprev 05:2605:26, 1 November 2022 星宮莓五六不能亡 talk contribs 14,161 bytes +758 No edit summary Tags: Manual revert Reverted

curprev 08:4008:40, 26 August 2022 MusikBot II talk contribs m 13,403 bytes +17 Adding missing protection template (more info) Tag: Reverted
curprev 08:3208:32, 26 August 2022 Materialscientist talk contribs m 13,386 bytes 0 Protected "Unique factorization domain": Persistent disruptive editing ([Edit=Require autoconfirmed or confirmed access] (expires 08:32, 26 November 2022 (UTC)) [Move=Require autoconfirmed or confirmed access] (expires 08:32, 26 November 2022 (UTC)))
curprev 08:2908:29, 26 August 2022 Materialscientist talk contribs m 13,386 bytes −775 Reverted edits by 61.224.146.54 (talk) to last version by Eviolite Tags: Rollback Reverted
curprev 08:2008:20, 26 August 2022 61.224.146.54 talk 14,161 bytes +775 No edit summary Tags: Manual revert Reverted

curprev 11:4711:47, 16 July 2022 Eviolite talk contribs m 13,386 bytes −775 LTA Tags: Rollback Reverted
curprev 11:2511:25, 16 July 2022 61.221.125.204 talk 14,161 bytes +775 No edit summary Tags: Manual revert Reverted

curprev 09:2309:23, 24 June 2022 1234qwer1234qwer4 talk contribs m 13,386 bytes +11 →Examples: \left\right Tag: Reverted

curprev 06:1306:13, 10 June 2022 2a02:a459:8fb6:1:340a:f559:7e55:35ca talk 13,375 bytes +2 →Equivalent conditions for a ring to be a UFD: Fixed typo. Tags: Reverted Mobile edit Mobile web edit

curprev 18:2118:21, 5 June 2022 JayBeeEll talk contribs 13,373 bytes −788 rv LTA -- see Wikipedia:Sockpuppet investigations/Xayahrainie43 Tag: Reverted

curprev 14:5114:51, 25 May 2022 Xxarles talk contribs m 14,161 bytes +61 I changed the last non example, since to be a Heegner number is not sufficient for <math> \mathbb Z[\sqrt{-n}]</math> to be UDF; one also needs it to be the ring of integers of the fraction field, so -n must be not congruent to 1 modulo 4.

curprev 20:0820:08, 19 May 2022 ינון גלעדי talk contribs 14,100 bytes +27 →References

curprev 23:4223:42, 17 May 2022 2402:7500:92c:b71d:cdf5:219c:c3f3:390 talk 14,073 bytes +727 No edit summary Tag: Manual revert

curprev 06:1106:11, 2 May 2022 Nythar talk contribs 13,346 bytes −727 Reverting unsourced edits. Tags: Undo Reverted

curprev 03:5803:58, 29 April 2022 125.228.184.15 talk 14,073 bytes +727 No edit summary Tags: Manual revert Reverted

curprev 05:0505:05, 27 April 2022 David Eppstein talk contribs m 13,346 bytes −727 Reverted edits by 61.223.192.142 (talk) to last version by Mkoko1 Tags: Rollback Reverted
curprev 04:1904:19, 27 April 2022 61.223.192.142 talk 14,073 bytes +604 →Examples Tag: Reverted
curprev 04:1804:18, 27 April 2022 61.223.192.142 talk 13,469 bytes +25 →Non-examples Tag: Reverted
curprev 04:1604:16, 27 April 2022 61.223.192.142 talk 13,444 bytes +98 →Non-examples Tag: Reverted

curprev 18:1218:12, 26 February 2022 Mkoko1 talk contribs m 13,346 bytes −8 Edit out awkward parenthesis for readability. No need to explain what a GCD domain is at this point in the article.

curprev 13:1513:15, 19 November 2021 Joel Brennan talk contribs 13,354 bytes +48 →See also: added Noncommutative unique factorization domain to 'See also' section

curprev 02:1402:14, 13 May 2021 Jordan Mitchell Barrett talk contribs m 13,306 bytes +2 →Equivalent conditions for a ring to be a UFD: fix grammar Tag: Visual edit

curprev 21:1121:11, 4 March 2021 Tom.Reding talk contribs 13,304 bytes +6 +{{Authority control}} (1 ID from Wikidata), WP:GenFixes on Tag: AWB

curprev 14:3514:35, 1 March 2021 Mojtabakd talk contribs m 13,298 bytes 0 No edit summary
curprev 14:3514:35, 1 March 2021 Mojtabakd talk contribs m 13,298 bytes +39 No edit summary

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