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Conical residuated lattice-ordered idempotent monoids

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Abstract

In this paper, we study some special residuated lattices, namely, conical idempotent residuated lattices. After obtaining some properties of such residuated lattices, we establish a structure theorem for conical idempotent residuated lattices.

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Correspondence to Wei Chen.

Additional information

Communicated by Jimmie D. Lawson.

This work is supported by a grant of NSF, China # 10471112 and a grant of Shaanxi Provincial Natural Science Foundation # 2005A15.

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Chen, W., Zhao, X. & Guo, X. Conical residuated lattice-ordered idempotent monoids. Semigroup Forum 79, 244–278 (2009). https://doi.org/10.1007/s00233-009-9158-9

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  • DOI: https://doi.org/10.1007/s00233-009-9158-9

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