Finite Semigroups And Universal Algebra - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Finite Semigroups And Universal Algebra write by Jorge Almeida. This book was released on 1995-01-27. Finite Semigroups And Universal Algebra available in PDF, EPUB and Kindle. Motivated by applications in theoretical computer science, the theory of finite semigroups has emerged in recent years as an autonomous area of mathematics. It fruitfully combines methods, ideas and constructions from algebra, combinatorics, logic and topology. In simple terms, the theory aims at a classification of finite semigroups in certain classes called “pseudovarieties”. The classifying characteristics have both structural and syntactical aspects, the general connection between them being part of universal algebra. Besides providing a foundational study of the theory in the setting of arbitrary abstract finite algebras, this book stresses the syntactical approach to finite semigroups. This involves studying (relatively) free and profinite free semigroups and their presentations. The techniques used are illustrated in a systematic study of various operators on pseudovarieties of semigroups.
Lattices, Semigroups, and Universal Algebra
Lattices, Semigroups, and Universal Algebra - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lattices, Semigroups, and Universal Algebra write by Jorge Almeida. This book was released on 2013-11-11. Lattices, Semigroups, and Universal Algebra available in PDF, EPUB and Kindle. This volume contains papers which, for the most part, are based on talks given at an international conference on Lattices, Semigroups, and Universal Algebra that was held in Lisbon, Portugal during the week of June 20-24, 1988. The conference was dedicated to the memory of Professor Antonio Almeida Costa, a Portuguese mathematician who greatly contributed to the development of th algebra in Portugal, on the 10 anniversary of his death. The themes of the conference reflect some of his research interests and those of his students. The purpose of the conference was to gather leading experts in Lattices, Semigroups, and Universal Algebra and to promote a discussion of recent developments and trends in these areas. All three fields have grown rapidly during the last few decades with varying degrees of interaction. Lattice theory and Universal Algebra have historically evolved alongside with a large overlap between the groups of researchers in the two fields. More recently, techniques and ideas of these theories have been used extensively in the theory of semigroups. Conversely, some developments in that area may inspire further developments in Universal Algebra. On the other hand, techniques of semi group theory have naturally been employed in the study of semilattices. Several papers in this volume elaborate on these interactions.
Structural Theory of Automata, Semigroups, and Universal Algebra
Structural Theory of Automata, Semigroups, and Universal Algebra - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Structural Theory of Automata, Semigroups, and Universal Algebra write by Valery B. Kudryavtsev. This book was released on 2006-01-18. Structural Theory of Automata, Semigroups, and Universal Algebra available in PDF, EPUB and Kindle. Semigroups, Automata, Universal Algebra, Varieties
The q-theory of Finite Semigroups
The q-theory of Finite Semigroups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The q-theory of Finite Semigroups write by John Rhodes. This book was released on 2010-12-06. The q-theory of Finite Semigroups available in PDF, EPUB and Kindle. 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.
Contributions to Universal Algebra
Contributions to Universal Algebra - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Contributions to Universal Algebra write by B. Csákány. This book was released on 2014-05-15. Contributions to Universal Algebra available in PDF, EPUB and Kindle. Contributions to Universal Algebra focuses on the study of algebra. The compilation first discusses the congruence lattice of pseudo-simple algebras; elementary properties of limit reduced powers with applications to Boolean powers; and congruent lattices of 2-valued algebras. The book further looks at duality for algebras; weak homomorphisms of stone algebras; varieties of modular lattices not generated by their finite dimensional members; and remarks on algebraic operations of stone algebras. The text describes polynomial normal forms and the embedding of polynomial algebras; coverings in the lattice of varieties; embedding semigroups in semigroups generated by idempotents; and endomorphism semigroups and subgroupoid lattices. The book also discusses a report on sublattices of a free lattice, and then presents the cycles in finite semi-distributive lattices; cycles in S-lattices; and summary of results. The text also describes primitive subsets of algebras, ideals, normal sets, and congruences, as well as Jacobson’s density theorem. The book is a good source for readers wanting to study algebra.
