Homological Algebra for Persistence Modules
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DOI: 10.1007/s10208-020-09482-9
Abstract: We develop some aspects of the homological algebra of persistence modules, in both the one-parameter and multi-parameter settings, considered as either sheaves or graded modules. The two theories are different. We consider the graded module… read more here.
Keywords: algebra persistence; persistence modules; homological algebra; persistence ... See more keywords
Proper resolutions and Gorensteinness in triangulated categories
Sign Up to like & getrecommendations! Published in 2017 at "Rocky Mountain Journal of Mathematics"
DOI: 10.1216/rmj-2017-47-3-1013
Abstract: Let T be a triangulated category with triangulation ∆, ξ ⊆ ∆ a proper class of triangles and C an additive full subcategory of T . We provide a method for constructing a proper C(ξ)-resolution… read more here.
Keywords: class triangles; triangulated categories; homological algebra; mathematics ... See more keywords