Symmetric Inverse Semigroups; Mathematical Surveys & Monographs; PDF Download
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Author: Stephen Lipscomb
Publisher: American Mathematical Society(RI)
ISBN: 9781470412777
Category : MATHEMATICS
Languages : en
Pages : 187
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Book Description
This text is both an introduction to and a study of finite symmetric inverse semigroups. The book presents much of the material on the theory of finite symmetric inverse semigroups, unifying the classical finite symmetric group theory with its semigroup analogue. A comment section at the end of each chapter provides new historical perspective.
Author: Stephen Lipscomb
Publisher: American Mathematical Society(RI)
ISBN: 9781470412777
Category : MATHEMATICS
Languages : en
Pages : 187
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Book Description
This text is both an introduction to and a study of finite symmetric inverse semigroups. The book presents much of the material on the theory of finite symmetric inverse semigroups, unifying the classical finite symmetric group theory with its semigroup analogue. A comment section at the end of each chapter provides new historical perspective.
Author: Stephen Lipscomb
Publisher: American Mathematical Soc.
ISBN: 0821806270
Category : Mathematics
Languages : en
Pages : 187
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Book Description
With over 60 figures, tables, and diagrams, this text is both an intuitive introduction to and a rigorous study of finite symmetric inverse semigroups. The book presents much of the material on the theory of finite symmetric inverse semigroups, unifying the classical finite symmetric group theory with its semigroup analogue. A comment section at the end of each chapter provides new historical perspective. New proofs, new theorems and the use of multiple figures, tables, and diagrams to present complex ideas make this book current and highly readable.
Author: Mark V. Lawson
Publisher: World Scientific
ISBN: 9789810233167
Category : Mathematics
Languages : en
Pages : 430
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Book Description
"this volume represents an outstanding contribution to the field. The resolute graduate student or mature researcher, alike, can find a wealth of directions for future work".Mathematical Reviews
Author: Mario Petrich
Publisher: Wiley-Interscience
ISBN:
Category : Mathematics
Languages : en
Pages : 694
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Book Description
Author: Alfred Hoblitzelle Clifford
Publisher: American Mathematical Soc.
ISBN: 0821802720
Category : Group theory
Languages : en
Pages : 370
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Book Description
Author: Thomas Eric Hall
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 280
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Book Description
These proceedings are the culmination of four weeks of workshop sessions, research, and discussion at Monash University before the conference on October 27-30, 1979. Subjects for papers were suggested by the results of these workshop sessions, by the mathematical preferences of the organizing committee, current research in semigroup theory, and suggestions by authors. One such submission discusses the importance of semigroups in the analysis of the foundations of scientific thinking. These proceedings offer new, unpublished results and present a summary of the current state of play in semigroup research.
Author: Benjamin Steinberg
Publisher: Springer
ISBN: 3319439324
Category : Mathematics
Languages : en
Pages : 324
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Book Description
This first text on the subject provides a comprehensive introduction to the representation theory of finite monoids. Carefully worked examples and exercises provide the bells and whistles for graduate accessibility, bringing a broad range of advanced readers to the forefront of research in the area. Highlights of the text include applications to probability theory, symbolic dynamics, and automata theory. Comfort with module theory, a familiarity with ordinary group representation theory, and the basics of Wedderburn theory, are prerequisites for advanced graduate level study. Researchers in algebra, algebraic combinatorics, automata theory, and probability theory, will find this text enriching with its thorough presentation of applications of the theory to these fields. Prior knowledge of semigroup theory is not expected for the diverse readership that may benefit from this exposition. The approach taken in this book is highly module-theoretic and follows the modern flavor of the theory of finite dimensional algebras. The content is divided into 7 parts. Part I consists of 3 preliminary chapters with no prior knowledge beyond group theory assumed. Part II forms the core of the material giving a modern module-theoretic treatment of the Clifford –Munn–Ponizovskii theory of irreducible representations. Part III concerns character theory and the character table of a monoid. Part IV is devoted to the representation theory of inverse monoids and categories and Part V presents the theory of the Rhodes radical with applications to triangularizability. Part VI features 3 chapters devoted to applications to diverse areas of mathematics and forms a high point of the text. The last part, Part VII, is concerned with advanced topics. There are also 3 appendices reviewing finite dimensional algebras, group representation theory, and Möbius inversion.
Author: Christopher Hollings
Publisher: American Mathematical Society
ISBN: 1470414937
Category : Mathematics
Languages : en
Pages : 457
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Book Description
The theory of semigroups is a relatively young branch of mathematics, with most of the major results having appeared after the Second World War. This book describes the evolution of (algebraic) semigroup theory from its earliest origins to the establishment of a full-fledged theory. Semigroup theory might be termed `Cold War mathematics' because of the time during which it developed. There were thriving schools on both sides of the Iron Curtain, although the two sides were not always able to communicate with each other, or even gain access to the other's publications. A major theme of this book is the comparison of the approaches to the subject of mathematicians in East and West, and the study of the extent to which contact between the two sides was possible.
Author: Alfred Hoblitzelle Clifford
Publisher: American Mathematical Soc.
ISBN: 0821873881
Category : Mathematics
Languages : en
Pages : 242
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Book Description
Author: Kossuth Lajos Tudományegyetem. Matematikai Intézet
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 528
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Book Description
