arXiv (All)
open access
The zero divisor and augmentation conjectures for medial quandle rings
For quandle rings, Bardakov--Passi--Singh and Elhamdadi--Nunez--Singh respectively formulated an analogue of Kaplansky's zero divisor conjecture and a weakened analogue of Kaplansky's idempotent conjecture involving the augmentation map. In this note, we verify these conjectures for medial quandles.
Conceptio Open Archive
Analyze & explore related research in Conceptio
Connect this record directly into your research workflow or AI agent. Explore citations across open repositories, query full text, and export structured proof bundles.
This document is indexed with metadata only: full text is not available in the archive for this record. Open the official source ↗
Related documents
- Topological Shaking Numbers and Cabling#1215532
- A unified family of counterexamples to Batyrev's non-negativity conjecture on stringy Hodge numbers#987875
- Three local $π$-characters#1186693
- Parking functions, Smirnov words, and noncrossing Chow polynomials#972080
- Real-rootedness and interlacing for parking functions and Chow polynomials#1210084
Record · ID 1355235
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Bring this data into your agent: Connect via MCP or API · 20 free credits to start · no card required
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive