The cocycle structure of the Alexander f-quandles on finite fields

DOI10.1142/S0219498818501906zbMath1480.57010arXiv1612.08968OpenAlexW2964343186MaRDI QIDQ4561481

Mohamed Elhamdadi, Neranga Fernando, Indu R. U. Churchill

Publication date: 6 December 2018

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.08968

zbMATH Keywords

cohomologyquandleAlexander quandle\(f\)-quandle

Mathematics Subject Classification ID

Sets with a single binary operation (groupoids) (20N02) Generalized knots (virtual knots, welded knots, quandles, etc.) (57K12)

Cites Work

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• Quandle varieties, generalized symmetric spaces, and \(\phi\)-spaces
• On third homologies of groups and of quandles via the Dijkgraaf-Witten invariant and Inoue-Kabaya map
• Homology operations on homology of quandles
• Automorphism groups of Alexander quandles.
• Connected quandles and transitive groups
• A classifying invariant of knots, the knot quandle
• Some calculations of cohomology groups of finite Alexander quandles
• Quandle homotopy invariants of knotted surfaces
• The 3-cocycles of the Alexander quandles \(\mathbb F_q[T/(T-\omega)\)]
• Cocycle knot invariants from quandle modules and generalized quandle homology
• Foundations of topological racks and quandles
• On quandle homology groups of Alexander quandles of prime order
• FINITE MODULES OVER ℤ[t, t^-1]
• Quandle colorings of knots and applications
• On 4-cocycles of Alexander quandles on finite fields
• DISTRIBUTIVE GROUPOIDS IN KNOT THEORY
• Quandle cohomology and state-sum invariants of knotted curves and surfaces
• f-Racks, f-quandles, their extensions and cohomology
• HOM-ALGEBRAS AND HOM-COALGEBRAS
• TOPOLOGICAL QUANDLES AND INVARIANTS OF LINKS

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