Methods of Graded Rings

• Main Authors: Nastasescu, Constantin (Author, http://id.loc.gov/vocabulary/relators/aut), van Oystaeyen, Freddy (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2004.
• Edition: 1st ed. 2004.
• Series: Lecture Notes in Mathematics, 1836
• Subjects: Algebra.; Associative rings.; Rings (Algebra).; Category theory (Mathematics).; Homological algebra.; Group theory.; Physics.; Associative Rings and Algebras.; Category Theory, Homological Algebra.; Group Theory and Generalizations.; Mathematical Methods in Physics.

The topic of this book, graded algebra, has developed in the past decade to a vast subject with new applications in noncommutative geometry and physics. Classical aspects relating to group actions and gradings have been complemented by new insights stemming from Hopf algebra theory. Old and new meth...

Table of Contents:

• The Category of Graded Rings
• The Category of Graded Modules
• Modules over Stronly Graded Rings
• Graded Clifford Theory
• Internal Homogenization
• External Homogenization
• Smash Products
• Localization of Graded Rings
• Application to Gradability
• Appendix A: Some Category Theory
• Appendix B: Dimensions in an Abelian Category
• Bibliography
• Index.