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The q-theory of Finite Semigroups
ISBN-13:
9780387097817
Veröffentl:
2009
Seiten:
666
Autor:
John Rhodes
Serie:
Springer Monographs in Mathematics
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
1 - PDF Watermark
Sprache:
Englisch
Beschreibung:
Discoveries in finite semigroups have influenced several mathematical fields, including theoretical computer science, tropical algebra via matrix theory with coefficients in semirings, and other areas of modern algebra. This comprehensive, encyclopedic text will provide the reader - from the graduate student to the researcher/practitioner - with a detailed understanding of modern finite semigroup theory, focusing in particular on advanced topics on the cutting edge of research.
"This comprehensive, encyclopedic text in four parts aims to give the reader - from the graduate student to the researcher/practitioner - a detailed understanding of modern finite semigroup theory, focusing in particular on advanced topics on the cutting edge of research. The q-theory of Finite Semigroups presents important techniques and results, many for the first time in book form, thereby updating and modernizing the semigroup theory literature."
I The q operator and Pseudovarieties of Relational Morphisms.- Foundations for Finite Semigroup Theory.- The q-operator.- The Equational Theory.- II Complexity in Finite Semigroup Theory.- The Complexity of Finite Semigroups.- Two-Sided Complexity and the Complexity of Operators.- III The Algebraic Lattice of Semigroup Pseudovarieties.- Algebraic Lattices, Continuous Lattices and Closure Operators.- The Abstract Spectral Theory of PV.- IV Quantales Idempotent Semirings Matrix Algebras and the Triangular Product.- Quantales.- The Triangular Product and Decomposition Results for Semirings.
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