7 citations · 20 across the 18 of their papers we have counts for
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math.AC2020
Constructing non-proxy small test modules for the complete intersection property
Benjamin Briggs, Eloísa Grifo, Josh Pollitz
A local ring is regular if and only if every finitely generated -module has finite projective dimension. Moreover, the residue field is a test module: is regular if…
math.AC2020
Locally complete intersection maps and the proxy small property
Benjamin Briggs, Srikanth B. Iyengar, Janina C. Letz +1
It is proved that a map of commutative noetherian rings that is essentially of finite type and flat is locally complete intersection if and only is proxy small…
math.AC2020★ 7 cited
Duality and symmetry of complexity over complete intersections via exterior homology
Jian Liu, Josh Pollitz
We study homological properties of a locally complete intersection ring by importing facts from homological algebra over exterior algebras. One application is showing that the thic…