General

A special research topic in algebraic structure theory is the classification of generally non-associative structures. Especially binary structures (sets with binary operations) are of interest.

There we have group-like (quasigroups, loops) and ring-like (near-rings, near-fields) structures. These are generally missing some form of associativity.

Research Topics

• quasigroup theory
• loop theory
• group theory
• algebraic structure theory
• application of these to cryptography

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Updated: 2005-12-30 15:40 (UTC)

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