Universal Algebra and Lattice Theory PDF Download

Author: R.S. Freese
Publisher: Springer
ISBN: 3540409548
Category : Mathematics
Languages : en
Pages : 314

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Book Description

Author: Xavier Caicedo
Publisher: CRC Press
ISBN: 1000657302
Category : Mathematics
Languages : en
Pages : 471

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Book Description
Contains a balanced account of recent advances in set theory, model theory, algebraic logic, and proof theory, originally presented at the Tenth Latin American Symposium on Mathematical Logic held in Bogata, Columbia. Traces new interactions among logic, mathematics, and computer science. Features original research from over 30 well-known experts.

Author: Leland G. Alkire
Publisher: Gale Cengage
ISBN:
Category : Periodicals
Languages : en
Pages : 1738

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Book Description
Volume 2 is arranged alphabetically by periodical title, rather than by abbreviation.

Author: Ranganathan Padmanabhan
Publisher: World Scientific
ISBN: 9812834540
Category : Mathematics
Languages : en
Pages : 229

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Book Description
The importance of equational axioms emerged initially with the axiomatic approach to Boolean algebras, groups, and rings, and later in lattices. This unique research monograph systematically presents minimal equational axiom-systems for various lattice-related algebras, regardless of whether they are given in terms of ?join and meet? or other types of operations such as ternary operations. Each of the axiom-systems is coded in a handy way so that it is easy to follow the natural connection among the various axioms and to understand how to combine them to form new axiom systems. A new topic in this book is the characterization of Boolean algebras within the class of all uniquely complemented lattices. Here, the celebrated problem of E V Huntington is addressed, which ? according to G Gratzer, a leading expert in modern lattice theory ? is one of the two problems that shaped a century of research in lattice theory. Among other things, it is shown that there are infinitely many non-modular lattice identities that force a uniquely complemented lattice to be Boolean, thus providing several new axiom systems for Boolean algebras within the class of all uniquely complemented lattices. Finally, a few related lines of research are sketched, in the form of appendices, including one by Dr Willian McCune of the University of New Mexico, on applications of modern theorem-proving to the equational theory of lattices.

Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 660

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Book Description

Author: Åsa Hirvonen
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 1614516871
Category : Philosophy
Languages : en
Pages : 438

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Book Description
In recent years, mathematical logic has developed in many directions, the initial unity of its subject matter giving way to a myriad of seemingly unrelated areas. The articles collected here, which range from historical scholarship to recent research in geometric model theory, squarely address this development. These articles also connect to the diverse work of Väänänen, whose ecumenical approach to logic reflects the unity of the discipline.

Author: Carlos A. di Prisco
Publisher: Springer Science & Business Media
ISBN: 9401589887
Category : Mathematics
Languages : en
Pages : 229

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Book Description
During the past 25 years, set theory has developed in several interesting directions. The most outstanding results cover the application of sophisticated techniques to problems in analysis, topology, infinitary combinatorics and other areas of mathematics. This book contains a selection of contributions, some of which are expository in nature, embracing various aspects of the latest developments. Amongst topics treated are forcing axioms and their applications, combinatorial principles used to construct models, and a variety of other set theoretical tools including inner models, partitions and trees. Audience: This book will be of interest to graduate students and researchers in foundational problems of mathematics.

Author: Peter T. Johnstone
Publisher: Cambridge University Press
ISBN: 9780521337793
Category : Mathematics
Languages : en
Pages : 398

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Book Description
A unified treatment of the corpus of mathematics that has developed out of M. H. Stone's representation theorem for Boolean algebras (1936) which has applications in almost every area of modern mathematics.

Author: Dale Jacquette
Publisher: John Wiley & Sons
ISBN: 1405149949
Category : Philosophy
Languages : en
Pages : 832

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Book Description
This collection of newly comissioned essays by international contributors offers a representative overview of the most important developments in contemporary philosophical logic. Presents controversies in philosophical implications and applications of formal symbolic logic. Surveys major trends and offers original insights.

Author: M Droste
Publisher: CRC Press
ISBN: 1000717453
Category : Mathematics
Languages : en
Pages : 512

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Book Description
Contains 25 surveys in algebra and model theory, all written by leading experts in the field. The surveys are based around talks given at conferences held in Essen, 1994, and Dresden, 1995. Each contribution is written in such a way as to highlight the ideas that were discussed at the conferences, and also to stimulate open research problems in a form accessible to the whole mathematical community. The topics include field and ring theory as well as groups, ordered algebraic structure and their relationship to model theory. Several papers deal with infinite permutation groups, abelian groups, modules and their relatives and representations. Model theoretic aspects include quantifier elimination in skew fields, Hilbert's 17th problem, (aleph-0)-categorical structures and Boolean algebras. Moreover symmetry questions and automorphism groups of orders are covered. This work contains 25 surveys in algebra and model theory, each is written in such a way as to highlight the ideas that were discussed at Conferences, and also to stimulate open research problems in a form accessible to the whole mathematical community.