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Viac informácií o knihe Axioms For Lattices And Boolean Algebras

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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.

Parametre knihy

Zaradenie knihy Knihy po anglicky Mathematics & science Mathematics Mathematical foundations

• Celý názov: Axioms For Lattices And Boolean Algebras
• Autor: R. Padmanabhan, S. Rudeanu
• Jazyk: Angličtina
• Väzba: Pevná
• Počet strán: 228
• EAN: 9789812834546
• ISBN: 9812834540
• ID: 05069303
• Nakladateľ: World Scientific Publishing Co Pte Ltd
• Hmotnosť: 536 g
• Rozmery: 236 × 158 × 20 mm
• Dátum vydania: 12. August 2008

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