Semimodular lattices: theory and applications, Vol. 73

By:

Stern, Manfred

Series: Encyclopedia of mathematics and its applicationsPublication details: Cambridge University Press, 1999. Cambridge:Description: xiv; 370 p pb 24 cmISBN:

9780521118842

Subject(s):

DDC classification:

511.33 STE

Summary: The author surveys and analyzes Garrett Birkhoff's concept of semimodularity and the various related concepts in lattice theory, and he presents theoretical results as well as applications in discrete mathematics, group theory, and universal algebra. Special emphasis is given to the combinatorial aspects of finite semimodular lattices. The book also deals with lattices that are "close" to semimodularity or can be combined with semimodularity, for example, supersolvable, admissible, consistent, strong, and balanced lattices. Researchers in lattice theory, discrete mathematics, combinatorics and algebra will find this book valuable.

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Item type	Current library	Collection	Call number	Copy number	Status	Date due	Barcode
Books	IIT Gandhinagar	General	511.33 STE (Browse shelf(Opens below))	1	Available		028961

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Previous	511.324 CRA Boolean models and methods in mathematics, computer science, and engineering, Vol. 134	511.324 HAL Lectures on Boolean algebras	511.33 BOR Lattice sums then and now, Vol. 150	511.33 STE Semimodular lattices: theory and applications, Vol. 73	511.34 VAA Models and games	511.343206 SAL Politics of modelling: numbers between science and policy	511.35 BER Noncommutative rational series with applications, Vol. 137	Next

The author surveys and analyzes Garrett Birkhoff's concept of semimodularity and the various related concepts in lattice theory, and he presents theoretical results as well as applications in discrete mathematics, group theory, and universal algebra. Special emphasis is given to the combinatorial aspects of finite semimodular lattices. The book also deals with lattices that are "close" to semimodularity or can be combined with semimodularity, for example, supersolvable, admissible, consistent, strong, and balanced lattices. Researchers in lattice theory, discrete mathematics, combinatorics and algebra will find this book valuable.

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