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.