Ideal ring extensions and trusses

• Published in: Journal of algebra Vol. 600; pp. 237 - 278
• Main Authors: Andruszkiewicz, Ryszard R., Brzeziński, Tomasz, Rybołowicz, Bernard
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 15.06.2022
• Subjects: Extension; Ring; Truss; Extension; 16Y99; Truss; 16S70; Ring; 08A99

It is shown that there is a close relationship between ideal extensions of rings and trusses, that is, sets with a semigroup operation distributing over a ternary abelian heap operation. Specifically, a truss can be associated to every element of an extension ring that projects down to an idempotent...