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Author(s): | Peter M. Higgins | |||
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Publisher: | Oxford University Press, USA | |||
Year: | 1992 | |||
Language: | English | |||
Pages: | 137 pages | |||
Size: | ||||
Extension: | DJVU | |||
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[content title="Description"]This book introduces recently developed ideas and techniques in semigroup theory, providing a handy reference guide previously unavailable in a single volume. The opening chapter provides sufficient background to enable the reader to follow any of the subsequent chapters, and would by itself be suitable for a first course in semigroup theory. The second chapter gives an account of free inverse semigroups leading to proofs of the McAlister P-theorems. Subsequent chapters have the underlying theme of diagrams and mappings, and the new material includes the theory of biordered sets of Nambooripad and Easdown, the semigroup diagrams of Remmers and Jackson with applications to the one-relator, and other word problems, a short proof of Isbell's Zigzag theorem with applications to epimorphisms and amalgams, together with combinatorial, probabilistic and graphical techniques used to prove results including Schein's Covering Theorem and Howie's Gravity Formula for finite full transformation semigroups. Nearly two hundred exercises serve the dual purpose of illustrating the richness of the subject while allowing the reader to come to grips with the material.
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[content title="About the author"]I was born in Australia in 1956 and together with my English wife, Theresa, our son and three daughters we have lived in Colchester since 1990. I was promoted to Professor in 2000 and was Head of the Dept of Mathematical Sciences from January 2005 until December 2010. I served as a Colchester Borough Councillor from 2002-16. [/content]
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