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Everything about Module homomorphism

Linear map over a ring

In algebra, a module homomorphism is a function between modules that preserves the module structures. Explicitly, if M and N are left modules over a ring R, then a function is called an R-module homomorphism or an R-linear map if for any x, y in M and r in R, Wikipedia →

đź§­ Start here: a 6-step reading path

  1. Read the overview: Module homomorphismA 5-minute orientation
  2. Skim a recent paper: A HOMOMORPHISM BETWEEN BOTT–SAMELSON BIMODULESInfluential work since 2022
  3. Pick up a classic book: Regularity And Substructures Of HomThe most-reprinted book on the subject
  4. Read the landmark paper: The derived module of a homomorphismCited 32 times
  5. Go sideways: Endomorphism ringA closely related topic
  6. Go sideways: Glossary of module theoryA closely related topic

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🏆 Landmark papers (most cited)

🆕 Influential since 2022

📚 Books worth reading

Ranked by number of editions on Open Library, a rough measure of how lasting a book is.

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