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Advanced topics in relation algebras...

Givant, Steven.

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Advanced topics in relation algebras = relation algebras.. Volume 2 /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Advanced topics in relation algebras/ by Steven Givant.
Reminder of title:	relation algebras.
Author:	Givant, Steven.
Published:	Cham :Springer International Publishing : : 2017.,
Description:	xix, 605 p. :ill., digital ;24 cm.
[NT 15003449]:	Preface -- Introduction -- 14. Canonical Extensions -- 15. Completions -- 16. Representations -- 17. Representation Theorems -- 18. Varieties of Relation Algebras -- 19. Atom Structures -- Epilogue -- References -- Index.
Contained By:	Springer eBooks
Subject:	Relation algebras. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-65945-9
ISBN:	9783319659459

Advanced topics in relation algebras = relation algebras.. Volume 2 /
Givant, Steven.

Advanced topics in relation algebrasrelation algebras.Volume 2 /[electronic resource] :by Steven Givant. - Cham :Springer International Publishing :2017. - xix, 605 p. :ill., digital ;24 cm.

Preface -- Introduction -- 14. Canonical Extensions -- 15. Completions -- 16. Representations -- 17. Representation Theorems -- 18. Varieties of Relation Algebras -- 19. Atom Structures -- Epilogue -- References -- Index.

The second volume of a pair that charts relation algebras from novice to expert level, this text brings the well-grounded reader to the frontiers of research. Building on the foundations established in the preceding Introduction to Relation Algebras, this volume advances the reader into the deeper mathematical results of the past few decades. Such material offers an ideal preparation for research in relation algebras and Boolean algebras with operators. Arranged in a modular fashion, this text offers the opportunity to explore any of several areas in detail; topics include canonical extensions, completions, representations, varieties, and atom structures. Each chapter offers a complete account of one such avenue of development, including a historical section and substantial number of exercises. The clarity of exposition and comprehensive nature of each module make this an ideal text for the independent reader entering the field, while researchers will value it as a reference for years to come. Collecting, curating, and illuminating over 75 years of progress since Tarski's seminal work in 1941, this textbook in two volumes offers a landmark, unified treatment of the increasingly relevant field of relation algebras. Clear and insightful prose guides the reader through material previously only available in scattered, highly-technical journal articles. Students and experts alike will appreciate the work as both a textbook and invaluable reference for the community. Note that this volume contains numerous, essential references to the previous volume, Introduction to Relation Algebras. The reader is strongly encouraged to secure at least electronic access to the first book in order to make use of the second.

ISBN: 9783319659459

Standard No.: 10.1007/978-3-319-65945-9doiSubjects--Topical Terms:

728605
Relation algebras.

LC Class. No.: QA10

Dewey Class. No.: 511.324

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505 0 $a Preface -- Introduction -- 14. Canonical Extensions -- 15. Completions -- 16. Representations -- 17. Representation Theorems -- 18. Varieties of Relation Algebras -- 19. Atom Structures -- Epilogue -- References -- Index.
520 $a The second volume of a pair that charts relation algebras from novice to expert level, this text brings the well-grounded reader to the frontiers of research. Building on the foundations established in the preceding Introduction to Relation Algebras, this volume advances the reader into the deeper mathematical results of the past few decades. Such material offers an ideal preparation for research in relation algebras and Boolean algebras with operators. Arranged in a modular fashion, this text offers the opportunity to explore any of several areas in detail; topics include canonical extensions, completions, representations, varieties, and atom structures. Each chapter offers a complete account of one such avenue of development, including a historical section and substantial number of exercises. The clarity of exposition and comprehensive nature of each module make this an ideal text for the independent reader entering the field, while researchers will value it as a reference for years to come. Collecting, curating, and illuminating over 75 years of progress since Tarski's seminal work in 1941, this textbook in two volumes offers a landmark, unified treatment of the increasingly relevant field of relation algebras. Clear and insightful prose guides the reader through material previously only available in scattered, highly-technical journal articles. Students and experts alike will appreciate the work as both a textbook and invaluable reference for the community. Note that this volume contains numerous, essential references to the previous volume, Introduction to Relation Algebras. The reader is strongly encouraged to secure at least electronic access to the first book in order to make use of the second.
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