TL;DR
This paper develops foundational homological theory for hopfological algebra, establishing properties similar to classical homological algebra of DG algebras, as introduced by Khovanov.
Contribution
It introduces basic homological concepts and properties specific to hopfological algebra, expanding the theoretical framework.
Findings
Established homological properties analogous to DG algebras
Extended classical homological concepts to hopfological setting
Provided foundational results for further research
Abstract
We develop some basic homological theory of hopfological algebra as defined by Khovanov. Several homological properties in hopfological algebra analogous to those of usual homological theory of DG algebras are obtained.
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.