Trusses: paragons, ideals and modules

DOI10.1016/j.jpaa.2019.106258zbMath1432.16049arXiv1901.07033OpenAlexW2980946321WikidataQ127001404 ScholiaQ127001404MaRDI QIDQ2301991

Tomasz Brzeziński

Publication date: 25 February 2020

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.07033

zbMATH Keywords

idealmoduleheaptrussparagon

Mathematics Subject Classification ID

Algebraic structures (08A99) Generalizations (16Y99)

Related Items (17)

On functors between categories of modules over trusses ⋮ From pre-trusses to skew braces ⋮ The Baer–Kaplansky Theorem for all abelian groups and modules ⋮ A note on a free group. The decomposition of a free group functor through the category of heaps ⋮ Affine Nijenhuis operators and Hochschild cohomology of trusses ⋮ Lie and Nijenhuis brackets on affine spaces ⋮ On Lie semiheaps and ternary principal bundles ⋮ Heaps of modules and affine spaces ⋮ The algebraic structure of left semi-trusses ⋮ On retracts determinating commutative trusses ⋮ Decompositions of matrices by using commutators ⋮ On the algebra of elliptic curves ⋮ Modules over Trusses vs. Modules over Rings: Internal Direct Sums ⋮ Unnamed Item ⋮ Modules over trusses vs modules over rings: direct sums and free modules ⋮ Congruence classes and extensions of rings with an application to braces ⋮ Ideal ring extensions and trusses

Cites Work

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• Braces, radical rings, and the quatum Yang-Baxter equation.
• Braces and the Yang-Baxter equation
• Skew braces and the Yang–Baxter equation
• On some unsolved problems in quantum group theory
• Wagner’s Theory of Generalised Heaps
• Trusses: Between braces and rings
• The ternary operation (𝑎𝑏𝑐)=𝑎𝑏⁻¹𝑐 of a group

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