Vanishing of (co)homology of Burch and related submodules
نویسندگان
چکیده
We introduce the notion of Burch submodules and weakly m-full modules over a local ring (R,m) study their properties. One our main results shows that satisfy 2-Tor rigid test also show (R,m), submodule M finitely generated R-module X, such either M=mX or M(⊆mX) is in 1-Tor rigid, module provided X faithful (and X∕M has finite length when m-full). As an application, we give some new class rings conjecture Huneke Wiegand affirmative for them.
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 2023
ISSN: ['1945-6581', '0019-2082']
DOI: https://doi.org/10.1215/00192082-10429128