The necessity of (co)unit in nearly Frobenius Algebra
Abstract
In this article, we consider the concept of nearly Frobenius algebra, which corresponds to an almost 2D-TQFT in which each cobordism admits no critical points of index 0 or 2. We prove that any 2-dimensional nearly Frobenius algebra over a principal ideal domain with surjective multiplication and injective comultiplication is indeed a Frobenius algebra. The motivation of this study mainly emanates from the investigation of potential constructions of link homology.
Fields of Study & Subjects
Commutative Algebra and Its Applications
Rings
Modules
and Algebras
Polynomial and algebraic computation
Publication details
- Journal / source
- Communications in Algebra
- Pages
- 1–23
- Publication date
- 13 July 2026
- Language
- EN