Proregular
Definition, Meaning & Examples
Part of speech adjective
Quick meaning: Proregular is an adjective meaning (mathematics) Having the property that the inverse systems of the Koszul cohomology modules satisfy the Inverse limit#Mittag-Leffler condition.).
Meaning
(mathematics) Having the property that the inverse systems of the Koszul cohomology modules satisfy the Inverse limit#Mittag-Leffler condition.).
Example Sentences
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).
Related Words
Related dictionary entries include biregular, hypocoercive, hyperregular, quasiregular, coinvariant, regular.
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Sources & Attribution
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