Abstract
We prove that if A is a finite algebra with a parallelogram term that satisfies the split centralizer condition, then A is dualizable. This yields yet another proof of the dualizability of any finite algebra with a near unanimity term, but more importantly proves that every finite module, group or ring in a residually small variety is dualizable.
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Presented by R. Willard.
This material is based upon work supported by the Hungarian National Foundation for Scientific Research (OTKA) grant no. K83219 and K104251.
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Kearnes, K.A., Szendrei, Á. Dualizable algebras with parallelogram terms. Algebra Univers. 76, 497–539 (2016). https://doi.org/10.1007/s00012-016-0410-3
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DOI: https://doi.org/10.1007/s00012-016-0410-3