Special Set Linear Algebra and Special Set Fuzzy Linear Algebra
Special Set Linear Algebras introduced by the authors in this book is an extension of Set Linear Algebras, which are the most generalized form of linear algebras. These structures can be applied to multi-expert models. The dominance of computers in everyday life calls for a paradigm shift in the concepts of linear algebras. The authors belief that special set linear algebra will cater to that need.
This book provides an excellent detailed review of an important aspect of the geometric program, namely, the role of representation theory of affine Kac-Moody algebras (or loop algebras).
Contents: A First Approach; General Framework; Homogeneous Cosmologies; Oxidation; Hyperbolic Algebras; General Framework; Dirac Fermions; Eleven Dimensional Supergravity; Dualities and Signatures of G++ Invariant Theories; etc.
Set linear algebras, introduced by the authors in this book, are the most generalized form of linear algebras. These structures make use of very few algebraic operations and are easily accessible to non-mathematicians as well. The dominance of computers in everyday life calls for a paradigm shift in the concepts of linear algebra. The authors believe that set linear algebra will cater to that need.
Relation Algebras by Games Volume 147They form a part of the field of algebraic logic, and have applications in proof theory, modal logic, and computer science. This research text uses combinatorial games to study the fundamental notion of representations of relation algebras. Games allow an intuitive and appealing approach to the subject, and permit substantial advances to be made. The book contains many new results and proofs not published elsewhere. It should be invaluable to graduate students and researchers interested in relation algebras and games.
