Groupoids which satisfy certain associative laws
D.I. Pushkashu
TL;DR
This paper investigates algebraic structures called groupoids that satisfy specific associative-like identities, exploring their properties and behaviors under cyclic associative and Tarki identities.
Contribution
It introduces and analyzes properties of division and cancellative groupoids with cyclic associative and Tarki identities, expanding understanding of these algebraic systems.
Findings
Characterization of groupoids satisfying cyclic associative identity
Analysis of groupoids with Tarki identity
Properties of division and cancellative groupoids under these identities
Abstract
In this paper we study properties of left (right) division (cancellative) groupoids with associative-like identities, namely, with cyclic associative identity (x (y z) = (z x) y) and Tarki (x (z y) = (x y) z) identities.
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
TopicsFuzzy and Soft Set Theory · Advanced Algebra and Logic · Advanced Topics in Algebra