Classical Finite Transformation Semigroups

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Classical Finite Transformation Semigroups
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Author : Olexandr Ganyushkin
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-12-10
Classical Finite Transformation Semigroups written by Olexandr Ganyushkin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-10 with Mathematics categories.
The aim of this monograph is to give a self-contained introduction to the modern theory of finite transformation semigroups with a strong emphasis on concrete examples and combinatorial applications. It covers the following topics on the examples of the three classical finite transformation semigroups: transformations and semigroups, ideals and Green's relations, subsemigroups, congruences, endomorphisms, nilpotent subsemigroups, presentations, actions on sets, linear representations, cross-sections and variants. The book contains many exercises and historical comments and is directed first of all to both graduate and postgraduate students looking for an introduction to the theory of transformation semigroups, but also to tutors and researchers.
Congruence Lattices Of Ideals In Categories And Partial Semigroups
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Author : James East
language : en
Publisher: American Mathematical Society
Release Date : 2023-04-07
Congruence Lattices Of Ideals In Categories And Partial Semigroups written by James East and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-07 with Mathematics categories.
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Formal Properties Of Finite Automata And Applications
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Author : Jean E. Pin
language : en
Publisher: Springer Science & Business Media
Release Date : 1989-10-11
Formal Properties Of Finite Automata And Applications written by Jean E. Pin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-10-11 with Computers categories.
The volume contains the proceedings of the 16th Spring School on Theoretical Computer Science held in Ramatuelle, France, in May 1988. It is a unique combination of research level articles on various aspects of the theory of finite automata and its applications. Advances made in the last five years on the mathematical foundations form the first part of the book. The second part is devoted to the important problems of the theory including star-height, concatenation hierarchies, and connections with logic and word problems. The last part presents a large variety of possible applications: number theory, distributed systems, algorithms on strings, theory of codes, complexity of boolean circuits and others.
The Q Theory Of Finite Semigroups
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Author : John Rhodes
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-04-05
The Q Theory Of Finite Semigroups written by John Rhodes and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04-05 with Mathematics categories.
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. Key features: (1) Develops q-theory, a new theory that provides a unifying approach to finite semigroup theory via quantization; (2) Contains the only contemporary exposition of the complete theory of the complexity of finite semigroups; (3) Introduces spectral theory into finite semigroup theory; (4) Develops the theory of profinite semigroups from first principles, making connections with spectra of Boolean algebras of regular languages; (5) Presents over 70 research problems, most new, and hundreds of exercises. Additional features: (1) For newcomers, an appendix on elementary finite semigroup theory; (2) Extensive bibliography and index. The q-theory of Finite Semigroups presents important techniques and results, many for the first time in book form, and thereby updates and modernizes the literature of semigroup theory.
Computing With New Resources
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Author : Cristian S. Calude
language : en
Publisher: Springer
Release Date : 2014-12-09
Computing With New Resources written by Cristian S. Calude and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-09 with Computers categories.
Professor Jozef Gruska is a well known computer scientist for his many and broad results. He was the father of theoretical computer science research in Czechoslovakia and among the first Slovak programmers in the early 1960s. Jozef Gruska introduced the descriptional complexity of grammars, automata, and languages, and is one of the pioneers of parallel (systolic) automata. His other main research interests include parallel systems and automata, as well as quantum information processing, transmission, and cryptography. He is co-founder of four regular series of conferences in informatics and two in quantum information processing and the Founding Chair (1989-96) of the IFIP Specialist Group on Foundations of Computer Science.
The British National Bibliography
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Author : Arthur James Wells
language : en
Publisher:
Release Date : 2009
The British National Bibliography written by Arthur James Wells and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Bibliography, National categories.
Scientific And Technical Aerospace Reports
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Author :
language : en
Publisher:
Release Date : 1971
Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Aeronautics categories.
Algebraic Monoids Group Embeddings And Algebraic Combinatorics
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Author : Mahir Can
language : en
Publisher: Springer
Release Date : 2014-06-11
Algebraic Monoids Group Embeddings And Algebraic Combinatorics written by Mahir Can and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-11 with Mathematics categories.
This book contains a collection of fifteen articles and is dedicated to the sixtieth birthdays of Lex Renner and Mohan Putcha, the pioneers of the field of algebraic monoids. Topics presented include: structure and representation theory of reductive algebraic monoids monoid schemes and applications of monoids monoids related to Lie theory equivariant embeddings of algebraic groups constructions and properties of monoids from algebraic combinatorics endomorphism monoids induced from vector bundles Hodge–Newton decompositions of reductive monoids A portion of these articles are designed to serve as a self-contained introduction to these topics, while the remaining contributions are research articles containing previously unpublished results, which are sure to become very influential for future work. Among these, for example, the important recent work of Michel Brion and Lex Renner showing that the algebraic semi groups are strongly π-regular. Graduate students as well as researchers working in the fields of algebraic (semi)group theory, algebraic combinatorics and the theory of algebraic group embeddings will benefit from this unique and broad compilation of some fundamental results in (semi)group theory, algebraic group embeddings and algebraic combinatorics merged under the umbrella of algebraic monoids.
Descriptional Complexity Of Formal Systems
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Author : Jürgensen
language : en
Publisher: Springer
Release Date : 2013-06-14
Descriptional Complexity Of Formal Systems written by Jürgensen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-14 with Computers categories.
This book constitutes the refereed proceedings of the 15th International Workshop of Descriptional Complexity of Formal Systems, DCFS 2013, held in London, ON, Canada, in July 2013. The 22 revised full papers presented together with 4 invited papers were carefully reviewed and selected from 46 submissions. The topics covered are automata, grammars, languages and other formal systems; various modes of operations and complexity measures; co-operating systems; succinctness of description of objects, state-explosion-like phenomena; circuit complexity of Boolean functions and related measures; size complexity and structural complexity of formal systems; trade-offs between computational models and mode of operation; applications of formal systems; for instance in software and hardware testing, in dialogue systems, in systems modeling or in modeling natural languages; and their complexity constraints; size or structural complexity of formal systems for modeling natural languages; complexity aspects related to the combinatorics of words; descriptional complexity in resource-bounded or structure-bounded environments; structural complexity as related to descriptional complexity; frontiers between decidability and undecidability; universality and reversibility; nature-motivated (bio-inspired) architectures and unconventional models of computing; Kolmogorov-Chaitin complexity, algorithmic information.
Teori Semigrup
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Author : Budi Surodjo
language : id
Publisher: UGM PRESS
Release Date : 2024-10-24
Teori Semigrup written by Budi Surodjo and has been published by UGM PRESS this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-24 with Mathematics categories.
Buku teks semigrup ini berisikan materi dasar-dasar teori semigrup dan terdiri atas sepuluh (10) bab. Secara garis besar, pada masing-masing bab terdapat pendahuluan yang berisikan rangkuman materi yang akan dibahas, uraian materi yang dilengkapi contoh-contoh untuk mempermudah pembaca memahami konsep. kesimpulan, dan soal-soal latihan. Bab 1 berisi konsep semigrup. konsep subsemigrup. konsep elemen-elemen khusus seperti elemen identitas (kiri/kanan). elemen nol (kiri/kanan). elemen invers (kiri/kanan). elemen reguler. dan elemen idempoten. Bab 2 berisi konsep pembangun dan ideal di dalam semigrup. Pada Bab 3 dipaparkan konsep relasi dan semigrup khusus. seperti semigrup Artin dan semigrup Noether. Bab 4 berisi konsep homomorfisma semigrup serta uraian mengenai Teorema Cayley. yaitu suatu teorema yang menyatakan bahwa sebarang semigrup hingga selalu isomorfis dengan suatu subsemigrup di dalam semigrup transformasi penuh. Pada Bab 5. pembaca akan mendapatkan uraian tentang relasi ekuivalensi Green, beserta sitat-sitatnya. Bab 6 memuat uraian mengenai sifat-sifat semigrup idempoten (semigrup yang semua elemennya merupakan elemen idempoten) dan semilattice (semigrup idempotent komutatif). Pada Bab 7 dipaparkan sifat-sifat semigrup reguler. yaitu semigrup yang semua elemennya reguler. Bab 8 berisikan uraian tentang semigrup invers. Pada Bab 9 diuraikan sifat-sifat semigrup orthodoks. Terakhir, pada Bab 10 dipaparkan beberapa aplikasi semigrup pada bidang lain. Buku ini juga dilengkapi dengan daftar indeks untuk memudahkan pembaca mencari istilah-istilah yang ada di buku ini. Semoga bermanfaat!