TL;DR
This paper extends homological algebra techniques, including derived functors, to non-additive categories such as pointed CW-complexes and sheaves on monoid schemes, providing new structural insights.
Contribution
It develops a homological algebra framework for non-additive categories and applies it to monoid schemes and sheaves, with structural theorems and comparisons.
Findings
Homological algebra is extended to non-additive categories.
Structural theorems for monoid schemes and sheaves are established.
Comparison with base change in this context is achieved.
Abstract
We instal homological algebra, including derived functors, on certain non-additive categories like categories of pointed CW-complexes, modules of monoids or sheaves thereof. We apply this theory to Monoid schemes and sheaves on them, compare the result with the base change and prove several structural theorems.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsCommutative Algebra and Its Applications · Alkaloids: synthesis and pharmacology · Algebraic structures and combinatorial models