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Boolean Trusses as Rectangular Bands and Boolean Rings

Ryszard R. Andruszkiewicz, Bernard Rybołowicz

Source record

Source: arXiv

Published: Sep 25, 2026

arXiv: 2609.31051

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Source abstract

We introduce Boolean trusses, that is, trusses in which every element is idempotent. Every Boolean truss admits a decomposition into a truss arising from a Boolean ring and a rectangular truss. Furthermore, we classify all Boolean trusses up to isomorphism.

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Boolean Trusses as Rectangular Bands and Boolean Rings — Mathematical Frontier Network