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Book Cover
E-book
Author Putcha, Mohan S., 1952-

Title Linear algebraic monoids / Mohan S. Putcha
Published Cambridge [England] ; New York : Cambridge University Press, 1988

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Description 1 online resource (x, 171 pages)
Series London Mathematical Society lecture note series ; 133
London Mathematical Society lecture note series ; 133.
Contents Cover; Title; Copyright; Contents; Preface; Notation; 1. Abstract Semigroups; 2. Algebraic Geometry; 3. Linear Algebraic Semigroups; 4. Linear Algebraic Groups; 5. Connected Algebraic Semigroups; 6. Connected Algebraic Monoids; 7. Reductive Groups and Regular Semigroups; 8. Diagonal Monoids; 9. Cross-section Lattices; 10. E-Structure; 11. Renner's Decomposition and Related Finite Semigroups; 12. Biordered Sets; 13. Tits Building; 14. The System of Idempotents; 15. J-irreducible and J-co-irreducible Monoids; 16. Renner's Extension Principle and Classification; References; Index
Summary This book provides an introduction to the field of linear algebraic monoids. This subject represents a synthesis of ideas from the theory of algebraic groups, algebraic geometry, matrix theory and abstract semigroup theory. Since every representation of an algebraic group gives rise to an algebraic monoid, the objects of study do indeed arise naturally
Bibliography Includes bibliographical references (pages 163-169) and index
Notes Print version record
Subject Monoids.
MATHEMATICS -- Algebra -- Linear.
Monoids
Lineares algebraisches Monoid
Algebraische Halbgruppe
Lineaire algebra.
Monoïden.
Monoïdes.
Form Electronic book
ISBN 9781107361485
1107361486
9780511600661
0511600666