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Research and Exposition in Mathematics -- Volume 9

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A. B. Romanowska, J. D. H. Smith

Modal Theory.
An Algebraic Approach to Order, Geometry, and Convexity

170 p., soft cover, ISBN 3-88538-209-1, EUR 20.00, 1985

Modal theory is a new algebraic discipline, comparable in scope and intention with the well-established disciplines of linear algebra, lattice theory, and semigroup theory. The topics of modal theory, belonging mostly to universal algebra, have broad connections to the theory of semigroups, semilattices, lattices, convex sets, geometry, and computer science. The value of the work lies in the investigation of general properties of modes and modals (idempotent entropic algebras that are not necessarily associative) and in the analysis of various special cases.

"... is written in a clear and pleasant style and is very readible, even if one is not familiar with the subject. Recommended!"
(Med. Wiskundig Genootschap)

"A new and interesting algebraic structure is investigated". (Monatshefte der Mathematik)