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Introduction to Noncommutative Algebra

This textbook offers an elementary introduction to noncommutative rings and algebras. Beginning with the classical theory of finite-dimensional algebras, it then develops a more general structure theory of rings, grounded in modules and tensor products. The final chapters cover free algebras, polyno...

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Bibliografiske detaljer
Hovedforfatter: Brešar, Matej (Author)
Institution som forfatter: SpringerLink (Online service)
Format: Electronisk eBog
Sprog:engelsk
Udgivet: Cham : Springer Nature Switzerland : Imprint: Springer, 2025.
Udgivelse:2nd ed. 2025.
Serier:Universitext,
Fag:
Associative rings.
Associative algebras.
Associative Rings and Algebras.
Online adgang:https://doi.org/10.1007/978-3-031-96296-7
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Indholdsfortegnelse:
  • Chapter 1. Finite Dimensional Division Algebras
  • Chapter 2. Structure of Finite Dimensional Algebras
  • Chapter 3. Modules and Semisimple Rings
  • Chapter 4. Structure of Rings
  • Chapter 5. Tensor Products in Noncommutative Algebra
  • Chapter 6. Noncommutative Polynomials
  • Chapter 7. Rings of Quotients and Structure of PI-Rings.

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