Meanings
- not comparablemathematicsHaving the property that the inverse systems of the Koszul cohomology modules satisfy the Inverse limit#Mittag-Leffler condition.)
1 more example
Then adic reduction to the diagonal holds: A#92;otimes#123;L#125;#95;#123;A#92;hat#123;#92;otimes#125;#123;L#125;#95;#123;K#125;A#125;(M#92;hat#123;#92;otimes#125;#123;L#125;#95;#123;K#125;N)#92;congM#92;otimes#123;L#125;#95;AN. (2) Let A be a commutative ring, let a#92;subseteqA be a weakly proregular ideal, let M be an A-module, and assume that the a-adic completion of A is noetherian (if A is noetherian, all these conditions are always satisfied).
2016, Liran Shaul, “Adic reduction to the diagonal and a relation between cofiniteness and derived completion”, in arXiv
Origin
Cite this entry
proregular. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/proregular
“proregular.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/proregular. Accessed November 3, 2026.
WatkinsX Dictionary, s.v. “proregular,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/proregular.
Source: proregular on Wiktionary, CC BY-SA 4.0.