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Anick resolution

I would like to know some applications of Anick's resolution in non-commutative algebras
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A Question About Free Resolutions

I would warmly appreciate it if someone could tell me whether the following question has an affirmative answer. I am new to the field of commutative algebra, so I am simply trying to fill in some ...
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unfolding as resolution

Has anyone described `unfolding' as used in mathphysics (e.g. on-shell AND off-shell) as analogous to a resolution in algebra - higher derivatives are unfolded in terms of new variables?