Skip to main content

Perfect and Semiperfect Rings

  • Chapter
Exercises in Classical Ring Theory

Part of the book series: Problem Books in Mathematics ((PBM))

  • 741 Accesses

Abstract

Even in the early days of ring theory, it was realized that semiprimary rings were worthwhile generalizations of artinian rings. In the 1950’s, with the advent of homological algebra, a number of papers were written about the homological properties of semiprimary rings. In his seminal 1960 paper, H. Bass studied the classes of perfect and semiperfect rings as homological generalizations of semiprimary rings, and obtained striking characterizations of these rings, both in homological and non-homological terms.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 74.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1995 Springer Science+Business Media New York

About this chapter

Cite this chapter

Lam, T.Y. (1995). Perfect and Semiperfect Rings. In: Exercises in Classical Ring Theory. Problem Books in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-3987-9_8

Download citation

  • DOI: https://doi.org/10.1007/978-1-4757-3987-9_8

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4757-3989-3

  • Online ISBN: 978-1-4757-3987-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics