Formal Matrices

• Main Authors: Krylov, Piotr (Author), Tuganbaev, Askar (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Series: Algebra and Applications, 23
• Subjects: Mathematics.; Associative rings.; Rings (Algebra).; Category theory (Mathematics).; Homological algebra.; K-theory.; Matrix theory.; Algebra.; Associative Rings and Algebras.; Category Theory, Homological Algebra.; K-Theory.; Linear and Multilinear Algebras, Matrix Theory.

This monograph is a comprehensive account of formal matrices, examining homological properties of modules over formal matrix rings and summarising the interplay between Morita contexts and K theory. While various special types of formal matrix rings have been studied for a long time from several poi...

Table of Contents:

• Introduction
• Construction of Formal Matrix Rings of Order 2
• Modules over Formal Matrix Rings
• Formal Matrix Rings over a Given Ring
• Grothendieck and Whitehead Groups of Formal Matrix Rings.