The q-theory of Finite Semigroups

摘要: Discoveries in finite semigroups have influenced several mathematical fields, including theoretical computer science, tropical algebra via matrix theory with coefficients semirings, and other areas of modern algebra. This comprehensive, encyclopedic text will provide the reader - from graduate student to researcher/practitioner a detailed understanding semigroup theory, focusing particular on advanced topics cutting edge research. Key features: (1) Develops q-theory, new that provides unifying approach quantization; (2) Contains only contemporary exposition complete complexity semigroups; (3) Introduces spectral into theory; (4) profinite first principles, making connections spectra Boolean algebras regular languages; (5) Presents over 70 research problems, most new, hundreds exercises. Additional For newcomers, an appendix elementary Extensive bibliography index. The q-theory Finite Semigroups presents important techniques results, many for time book form, thereby updates modernizes literature theory.