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Research and Exposition in Mathematics -- Volume 12

   Enlarged Picture

W. H. Cornish

Antimorphic Action.
Categories of Algebraic Structures with Involutions or Anti-Endomorphisms

212 p., soft cover, ISBN 3-88538-212-1, EUR 25.00, 1986

A categorical approach to certain involutions of a Lie algebra, a quadratic Jordan algebra, or a free lattice in a self-dual variety of lattices. Explores properties of the variety formed by those algebras in a variety of finitary algebras expanded by antimorphisms which are acted upon by members of a fixed monoid in a homomorphic or antihomomorphic manner. The deepest results are relevant to algebras obtained from popositional logics.