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Boolean Trusses as Rectangular Bands and Boolean Rings
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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BibTeX
@misc{andruszkiewicz2026boolean,
title = {{Boolean Trusses as Rectangular Bands and Boolean Rings}},
author = {Ryszard R. Andruszkiewicz and Bernard Rybołowicz},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.31051},
eprint = {2609.31051},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.31051},
}
RIS
TY - UNPB
TI - Boolean Trusses as Rectangular Bands and Boolean Rings
AU - Ryszard R. Andruszkiewicz
AU - Bernard Rybołowicz
PY - 2026
DA - 2026/09/25
PB - arXiv
DO - 10.48550/arxiv.2609.31051
UR - https://arxiv.org/abs/2609.31051
AB - 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.
ER -