Extending Structures : Fundamentals and Applications free ebook download.

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Extending Structures : Fundamentals and Applications free ebook download

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Mathematics

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Catalogue

Author(s):	Ana Agore, Gigel Militaru

Date:	2020	Format:	pdf	Language:	English	ISBN/ASIN:	0815347847
Pages:	243	OCR:		Quality:		ISBN13:
Uploader:	eternal	Upload Date:	3/29/2024 5:15:15 AM

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0815347847 pdf
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

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Tags: Applications Extending Fundamentals Structures

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