20% off all books with the code: BOOKS
  • check 10+ million books
  • check New arrivals every day
  • check Trusted by 1M+ customers
  • check Great prices & discounts
  • check Shipping across Europe

Principal Indecomposable Module: Abstract Algebra, Module Theory, Simple Module, Projective Module, Submodule -

English
2026-04-09
€156.58 €195.73

-20% with code BOOKS

In stock at our supplier

Shipping in 15-21 days

30-day return policy

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, especially in the area of abstract algebra known as module theory, a principal indecomposable module has many important relations to the study of a ring's modules, especially its simple modules, projective modules, and indecomposable modules. A (left) principal inde ... Full description

You May Also Like

Description

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, especially in the area of abstract algebra known as module theory, a principal indecomposable module has many important relations to the study of a ring's modules, especially its simple modules, projective modules, and indecomposable modules. A (left) principal indecomposable module of a ring R is a (left) submodule of R that is a direct summand of R and is an indecomposable module. Alternatively, it is an indecomposable, projective, cyclic module. Principal indecomposable modules are also called PIMs for short. The projective indecomposable modules over some rings have very close connections with those rings' simple, projective, and indecomposable modules. If the ring R is Artinian or even semiperfect, then R is a direct sum of principal indecomposable modules, and there is one isomorphism class of PIM per isomorphism class of simple module.

More Information

Publisher OmniScriptum
Release year 2026
Cover type Softcover
EAN 9786133537804
Write Your Own Review
You're reviewing: Principal Indecomposable Module: Abstract Algebra, Module Theory, Simple Module, Projective Module, Submodule
Your Rating:

Goodreads Reviews

€156.58 €195.73