A simple example of a semi-unital semi-monoidal category
Abstract
The notion of semi-unital semi-monoidal category which is a generalization of the classical notion of monoidal category was defined a couple of years ago using the so called "Takahashi tensor product ⊠".So far, there is only one example of it in the literature and it is complex.In this work, we use the recently defined multiplicative tensor product of matrix factorizations denoted by ⊗ to give a simpler example of this notion thereby proving that it is not an isolated concept.In fact, if M F (1) denotes the category of matrix factorizations of the constant power series 1, we define the concept of one-step connected category and prove that there is a one-step connected subcategory of (M F (1), ⊗) which is semi-unital semi-monoidal.
Fields of Study & Subjects
Homotopy and Cohomology in Algebraic Topology
Algebraic structures and combinatorial models
Advanced Algebra and Geometry
Publication details
- Journal / source
- Discussiones Mathematicae - General Algebra and Applications
- Volume
- 46
- Issue
- 1
- Pages
- 195–195
- Publication date
- 1 January 2026
- Language
- EN