Secure CheckoutPersonal information is secured with SSL technology.
Free ShippingFree global shipping
No minimum order.
Linear Associative Algebras focuses on finite dimensional linear associative algebras and the Wedderburn structure theorems.
The publication first elaborates on semigroups and groups, rings and fields, direct sum and tensor product of rings, and polynomial and matrix rings. The text then ponders on vector spaces, including finite dimensional vector spaces and matrix representation of vectors.
The book takes a look at linear associative algebras, as well as the idempotent and nilpotent elements of an algebra, ideals of an algebra, total matrix algebras and the canonical forms of matrices, matrix representation of algebras, and division of algebras. The manuscript also tackles the Wedderburn structure theorems, including direct sum and tensor product decomposition of algebras, nilpotent algebras and the radical of an algebra, and structure of simple and semi-simple algebras.
The publication is highly recommended for mathematicians and students interested in the Wedderburn structure theorems and finite dimensional linear associative algebras.
1.1. Semigroups and Groups
1.2. Rings and Fields
1.3. Direct Sum and Tensor Product of Rings
1.4. Polynomial Rings
1.5. Matrix Rings
2. Vector Spaces
2.1. Vector Spaces
2.2. Finite Dimensional Vector Spaces
2.3. Matrix Representation of Vectors
3. Linear Associative Algebras
3.1. Linear Associative Algebras
3.2. Idempotent and Nilpotent Elements of an Algebra
3.3. Ideals of an Algebra
3.4. Total Matrix Algebras and the Canonical Forms of Matrices
3.5. Matrix Representation of Algebras
3.6. Division Algebras
4. Wedderburn Structure Theorems
4.1. Direct Sum and Tensor Product Decomposition of Algebras
4.2. Nilpotent Algebras and the Radical of an Algebra
4.3. Structure of Semi-Simple Algebras
4.4. Structure of Simple Algebras
4.5. Concluding Remarks
Index of Symbols
- No. of pages:
- © Pergamon 1971
- 1st January 1971
- eBook ISBN:
Elsevier.com visitor survey
We are always looking for ways to improve customer experience on Elsevier.com.
We would like to ask you for a moment of your time to fill in a short questionnaire, at the end of your visit.
If you decide to participate, a new browser tab will open so you can complete the survey after you have completed your visit to this website.
Thanks in advance for your time.