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The Structure of Relation Algebras Generated by Relativizations (Contemporary Mathematics) - Softcover
Inhaltsangabe
The foundation for an algebraic theory of binary relations was laid by De Morgan, Peirce, and Schroder during the second half of the nineteenth century. Modern development of the subject as a theory of abstract algebras, called 'relation algebras', was undertaken by Tarski and his students. This book aims to analyze the structure of relation algebras that are generated by relativized subalgebras. As examples of their potential for applications, the main results are used to establish representation theorems for classes of relation algebras and to prove existence and uniqueness theorems for simple closures (i.e., for minimal simple algebras containing a given family of relation algebras as relativized subalgebras).This book is well written and accessible to those who are not specialists in this area. In particular, it contains two introductory chapters on the arithmetic and the algebraic theory of relation algebras. This book is suitable for use in graduate courses on algebras of binary relations or algebraic logic.
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The foundation of an algebraic theory of binary relations was laid by De Morgan, Peirce, and Schroder during the second half of the nineteenth century. Modern development of the subject as a theory of abstract algebras, called "relation algebras", was undertaken by Tarski and his students. This book aims to analyse the structure of relation algebras that are generated by relativized subalgebras. As examples of their potential for applications, the main results are used to establish representation theorems for classes of relation algebras and to prove existence and uniqueness theorems for simple closures (i.e., for minimal simple algebras containing a given family of relation algebras as relativized subalgebras). This book is well-written and accessible to those who are not specialists in this area. In particular, it contains two introductory chapters on the arithmetic and the algebraic theory of relation algebras. This book is suitable for use in graduate courses onalgebras of binary relations or algebraic logic.
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The Structure of Relation Algebras Generated by Relativizations (Contemporary Mathematics)
Verlag:
Amer Mathematical Society, 1994
ISBN 10: 0821851772
ISBN 13: 9780821851777
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Softcover
Anbieter: Zubal-Books, Since 1961, Cleveland, OH, USA
Verkäuferbewertung 5 von 5 Sternen
Zustand: Fine. First edition, first printing, 134 pp., Paperback, fine. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. Bestandsnummer des Verkäufers ZB1298011
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The Structure of Relation Algebras Generated by Relativizations
Verlag:
American Mathematical Society, 1994
ISBN 10: 0821851772
ISBN 13: 9780821851777
Gebraucht
Softcover
Anbieter: Attic Books (ABAC, ILAB), London, ON, Kanada
Verkäuferbewertung 5 von 5 Sternen
Softcover. Zustand: ex library-good. Contemporary Mathematics 156. xv, 134 p. 25 cm. Ex library with labels on front cover and inside rear cover, ink stamps on top edge and title. Bestandsnummer des Verkäufers 145743
Anzahl: 1 verfügbar