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Levi’s Commutator Theorems for Cancellative Semigroups

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Abstract

A conjecture of Padmanabhan, on provability in cancellative semigroups, is addressed. Several of Levi’s group theory commutator theorems are proved for cancellative semigroups. The proofs, found by automated deduction, support the conjecture.

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Authors and Affiliations

  1. Department of Mathematics, University of Manitoba, Winnipeg, Manitoba R3T 2N2, Canada

    R. Padmanabhan

  2. Mathematics and Computer Science Division, Argonne National Laboratory, Argonne, Illinois 60419, USA

    W. McCune

  3. Department of Computer Science, University of New Mexico, Albuquerque, NM87131, USA

    R. Veroff

Authors
  1. R. Padmanabhan
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  2. W. McCune
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  3. R. Veroff
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Corresponding authors

Correspondence to R. Padmanabhan, W. McCune or R. Veroff.

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Padmanabhan, R., McCune, W. & Veroff, R. Levi’s Commutator Theorems for Cancellative Semigroups. Semigroup Forum 71, 152–157 (2005). https://doi.org/10.1007/s00233-005-0506-0

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  • DOI: https://doi.org/10.1007/s00233-005-0506-0

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