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Small Skew Lattices in Rings

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Abstract

Given idempotents e and f in a ring R, if ef and fe are also idempotent, then e and f generate a skew lattice in R that splits, having order dividing 16. The skew Boolean algebra generated from e and f is also considered.

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Authors and Affiliations

  1. Department of Mathematics, Westmont College, 955 La Paz Road, Santa Barbara, CA, 93108-1099, USA

    Jonathan Leech

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  1. Jonathan Leech
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Correspondence to Jonathan Leech.

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Leech, J. Small Skew Lattices in Rings. Semigroup Forum 70, 307–311 (2005). https://doi.org/10.1007/s00233-004-0159-4

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  • DOI: https://doi.org/10.1007/s00233-004-0159-4

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