Extending Structures - Fundamentals and Applications (Hardcover)

Extending Structures: Fundamentals and Applications treats the extending structures (ES) problem in the context of groups, Lie/Leibniz algebras, associative algebras and Poisson/Jacobi algebras. This concisely written monograph offers the reader an incursion into the extending structures problem which provides a common ground for studying both the extension problem and the factorization problem. Features Provides a unified approach to the extension problem and the factorization problem Introduces the classifying complements problem as a sort of converse of the factorization problem; and in the case of groups it leads to a theoretical formula for computing the number of types of isomorphisms of all groups of finite order that arise from a minimal set of data Describes a way of classifying a certain class of finite Lie/Leibniz/Poisson/Jacobi/associative algebras etc. using flag structures Introduces new (non)abelian cohomological objects for all of the aforementioned categories As an application to the approach used for dealing with the classification part of the ES problem, the Galois groups associated with extensions of Lie algebras and associative algebras are described

General

Imprint:	Crc Press
Country of origin:	United States
Series:	Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Release date:	August 2019
First published:	2020
Authors:	Ana Agore • Gigel Militaru
Dimensions:	234 x 156 x 22mm (L x W x T)
Format:	Hardcover
Pages:	224
ISBN-13:	978-0-8153-4784-2
Categories:	Books > Professional & Technical > Environmental engineering & technology > General Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory Books > Science & Mathematics > Mathematics > Number theory > General Books > Science & Mathematics > Mathematics > Applied mathematics > General Promotions
LSN:	0-8153-4784-7
Barcode:	9780815347842

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!