Department of Mathematics
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In our continued effort to find new theorems in support of the CS-conjecture (i.e. comparing equational derivability in groups and semigroups), we investigate the following: if a positive commutator law implies commutativity in group theory, then the same law implies commutativity in cancellation semigroups admitting commutators.

This is part of an on-going research project done in collaboration with Dr. G. Moghaddam.

1. Gupta, N. D. Some group-laws equivalent to the commutative law, Arch. Math. (Basel) 17, 1966, 97Ð102.
2. Moghaddam, G. I., On Semigroups admitting Commutators or Conjugates, CMS Conference, Winnipeg 2014.