Contributions To Universal Algebra PDF Download
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Author | : B. Csákány |
Publisher | : Elsevier |
Total Pages | : 609 |
Release | : 2014-05-15 |
Genre | : Mathematics |
ISBN | : 1483103021 |
Download Contributions to Universal Algebra Book 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.
Author | : George Grätzer |
Publisher | : Springer Science & Business Media |
Total Pages | : 601 |
Release | : 2008-12-15 |
Genre | : Mathematics |
ISBN | : 0387774874 |
Download Universal Algebra Book in PDF, ePub and Kindle
Universal Algebra has become the most authoritative, consistently relied on text in a field with applications in other branches of algebra and other fields such as combinatorics, geometry, and computer science. Each chapter is followed by an extensive list of exercises and problems. The "state of the art" account also includes new appendices (with contributions from B. Jónsson, R. Quackenbush, W. Taylor, and G. Wenzel) and a well selected additional bibliography of over 1250 papers and books which makes this an indispensable new edition for students, faculty, and workers in the field.
Author | : Johannes Czermak |
Publisher | : |
Total Pages | : 424 |
Release | : 1987 |
Genre | : Algebra |
ISBN | : |
Download Contributions to General Algebra 5 Book in PDF, ePub and Kindle
Author | : Ivo G. Rosenberg |
Publisher | : Springer Science & Business Media |
Total Pages | : 565 |
Release | : 2013-03-09 |
Genre | : Mathematics |
ISBN | : 9401706972 |
Download Algebras and Orders Book in PDF, ePub and Kindle
In the summer of 1991 the Department of Mathematics and Statistics of the Universite de Montreal was fortunate to host the NATO Advanced Study Institute "Algebras and Orders" as its 30th Seminaire de mathematiques superieures (SMS), a summer school with a long tradition and well-established reputation. This book contains the contributions of the invited speakers. Universal algebra- which established itself only in the 1930's- grew from traditional algebra (e.g., groups, modules, rings and lattices) and logic (e.g., propositional calculus, model theory and the theory of relations). It started by extending results from these fields but by now it is a well-established and dynamic discipline in its own right. One of the objectives of the ASI was to cover a broad spectrum of topics in this field, and to put in evidence the natural links to, and interactions with, boolean algebra, lattice theory, topology, graphs, relations, automata, theoretical computer science and (partial) orders. The theory of orders is a relatively young and vigorous discipline sharing certain topics as well as many researchers and meetings with universal algebra and lattice theory. W. Taylor surveyed the abstract clone theory which formalizes the process of compos ing operations (i.e., the formation of term operations) of an algebra as a special category with countably many objects, and leading naturally to the interpretation and equivalence of varieties.
Author | : Jorge Almeida |
Publisher | : Springer Science & Business Media |
Total Pages | : 325 |
Release | : 2013-11-11 |
Genre | : Mathematics |
ISBN | : 1489926089 |
Download Lattices, Semigroups, and Universal Algebra Book 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.
Author | : B. Plotkin |
Publisher | : Springer |
Total Pages | : 438 |
Release | : 2012-10-12 |
Genre | : Mathematics |
ISBN | : 9789401043526 |
Download Universal Algebra, Algebraic Logic, and Databases Book in PDF, ePub and Kindle
Modern algebra, which not long ago seemed to be a science divorced from real life, now has numerous applications. Many fine algebraic structures are endowed with meaningful contents. Now and then practice suggests new and unexpected structures enriching algebra. This does not mean that algebra has become merely a tool for applications. Quite the contrary, it significantly benefits from the new connections. The present book is devoted to some algebraic aspects of the theory of databases. It consists of three parts. The first part contains information about universal algebra, algebraic logic is the subject of the second part, and the third one deals with databases. The algebraic material of the flI'St two parts serves the common purpose of applying algebra to databases. The book is intended for use by mathematicians, and mainly by algebraists, who realize the necessity to unite theory and practice. It is also addressed to programmers, engineers and all potential users of mathematics who want to construct their models with the help of algebra and logic. Nowadays, the majority of professional mathematicians work in close cooperation with representatives of applied sciences and even industrial technology. It is neces sary to develop an ability to see mathematics in different particular situations. One of the tasks of this book is to promote the acquisition of such skills.
Author | : |
Publisher | : |
Total Pages | : 712 |
Release | : 1999 |
Genre | : Algebra |
ISBN | : |
Download Contributions to General Algebra Book in PDF, ePub and Kindle
Author | : Hermann Kautschitsch |
Publisher | : |
Total Pages | : 436 |
Release | : 1979 |
Genre | : Algebra |
ISBN | : |
Download Contributions to General Algebra Book in PDF, ePub and Kindle
Author | : Janusz Czelakowski |
Publisher | : Springer |
Total Pages | : 476 |
Release | : 2018-03-20 |
Genre | : Philosophy |
ISBN | : 331974772X |
Download Don Pigozzi on Abstract Algebraic Logic, Universal Algebra, and Computer Science Book in PDF, ePub and Kindle
This book celebrates the work of Don Pigozzi on the occasion of his 80th birthday. In addition to articles written by leading specialists and his disciples, it presents Pigozzi’s scientific output and discusses his impact on the development of science. The book both catalogues his works and offers an extensive profile of Pigozzi as a person, sketching the most important events, not only related to his scientific activity, but also from his personal life. It reflects Pigozzi's contribution to the rise and development of areas such as abstract algebraic logic (AAL), universal algebra and computer science, and introduces new scientific results. Some of the papers also present chronologically ordered facts relating to the development of the disciplines he contributed to, especially abstract algebraic logic. The book offers valuable source material for historians of science, especially those interested in history of mathematics and logic.
Author | : Chengming Bai |
Publisher | : World Scientific |
Total Pages | : 318 |
Release | : 2012 |
Genre | : Mathematics |
ISBN | : 9814365122 |
Download Operads and Universal Algebra Book in PDF, ePub and Kindle
The book aims to exemplify the recent developments in operad theory, in universal algebra and related topics in algebraic topology and theoretical physics. The conference has established a better connection between mathematicians working on operads (mainly the French team) and mathematicians working in universal algebra (primarily the Chinese team), and to exchange problems, methods and techniques from these two subject areas.