Math 2.0

Associative rings and algebras Homological methods Concept

Self-injective ring

Summary

A left self-injective ring is a ring that is an injective module when viewed as a left module over itself. Rings ℤ/nℤ\Z/n\Z, Frobenius algebras and products of fields are self-injective, while ℤ\Z is not. A left Noetherian left self-injective ring is exactly a quasi-Frobenius ring.

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Further reading

  1. Web https://en.wikipedia.org/wiki/Quasi-Frobenius_ring
About this page
TagKQKJENEMSN
URIm2://KQKJENEMSN
Kindconcept
WritingW0 stub
MSC16D50
SpecializesRing
Changed2 November 2026

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