Splittings in the variety of residuated lattices |
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| Authors: | Tomasz Kowalski Hiroakira Ono |
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| Institution: | (1) Japan Advanced Institute of Science and Technology, 1–1 Asahidai, Tatsunokuchi, Ishikawa 923–1292, Japan, e-mail: kowalski@jaist.ac.jp, JP;(2) Japan Advanced Institute of Science and Technology, 1–1 Asahidai, Tatsunokuchi, Ishikawa 923–1292, Japan, e-mail: ono@jaist.ac.jp, JP |
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| Abstract: | It is shown that the only algebra that splits the lattice of subvarieties of the variety of residuated lattices is the two element boolean algebra.
Received October 4, 1999; accepted in final form August 11, 2000. |
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