A restricted dth power of an ideal I is obtained by restricting the exponent vectors allowed to appear on “natural” generating set Id, for some integer d. In this paper, we study homological properties powers complete intersections. We construct a generalization L-complex construction Buchsbaum and Eisenbud. use resolution compute explicit basis Koszul homology which allows us deduce that quoti...

Abstract We introduce an infinite variant of hypersurface support for finite-dimensional, noncommutative complete intersections. show that defines a theory the big singularity category $\operatorname {Sing}(R)$ , and object in vanishes if only itself vanishes. Our work is inspired by Avramov Buchweitz’ (commutative) local In companion piece [27], we employ infinite-dimensional modules, results ...