Name: ON AN “ARITHMETIC” FUNCTOR
Creator: A F Ivanov
Keywords: Ext and Tor, generalizations, Künneth formula (category-theoretic aspects), noetherianness, Tor, Homological methods in commutative ring theory, Commutative Noetherian rings and modules, 16. Peace & justice

On an ''arithmetical'' functor

descriptionPublicationkeyboard_double_arrow_right Article 28 Feb 1985Publisher:Steklov Mathematical InstituteJournal:Mathematics of the USSR-Sbornik, volume 50, pages 533-538 (issn: 0025-5734,

Authors: A F Ivanov;

doi: 10.1070/sm1985v050n02abeh002843

ON AN “ARITHMETIC” FUNCTOR

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Abstract

It is shown that for the values of \(\widehat{\text{Tor}}^ k(M,N)\) to be noetherian it suffices that all five arguments be noetherian (the ground ring, the local algebras over it, and the modules over these).

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Keywords

Ext and Tor, generalizations, Künneth formula (category-theoretic aspects), noetherianness, Tor, Homological methods in commutative ring theory, Commutative Noetherian rings and modules

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