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Maximal residuated lattices with lifting boolean center

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In this paper, we define, inspired by ring theory, the class of maximal residuated lattices with lifting boolean center and prove a structure theorem for them: any maximal residuated lattice with lifting boolean center is isomorphic to a finite direct product of local residuated lattices.

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Correspondence to George Georgescu.

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Presented by C. Tsinakis.

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Georgescu, G., Leuştean, L. & Mureşan, C. Maximal residuated lattices with lifting boolean center. Algebra Univers. 63, 83–99 (2010). https://doi.org/10.1007/s00012-010-0066-3

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  • DOI: https://doi.org/10.1007/s00012-010-0066-3

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