TL;DR
This paper introduces the concept of vector groupoids, an algebraic structure that merges Brandt groupoids with vector spaces, exploring their properties and compatibility.
Contribution
It defines and studies vector groupoids, a novel algebraic structure combining groupoid and vector space concepts.
Findings
Established the formal definition of vector groupoids
Analyzed the compatibility conditions between groupoid and vector space structures
Provided initial properties and examples of vector groupoids
Abstract
The main purpose of this paper is to study the vector groupoids. This is an algebraic structure which combines the concepts of Brandt groupoid and vector space such that these are compatible.
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
TopicsAdvanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology · Fuzzy and Soft Set Theory