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Everything about Primitive ring
In the branch of abstract algebra known as ring theory, a left primitive ring is a ring which has a faithful simple left module. Well known examples include endomorphism rings of vector spaces and Weyl algebras over fields of characteristic zero. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Primitive ringA 5-minute orientation
- Skim a recent paper: Traces of a Primitive RNA Ring in Current GenomesInfluential work since 2022
- Pick up a classic book: Nilpotent orbits, primitive ideals, and characteristic classesThe most-reprinted book on the subject
- Read the landmark paper: Improved Ring Oscillator PUF: An FPGA-friendly Secure PrimitiveCited 283 times
- Go sideways: Glossary of ring theoryA closely related topic
- Go sideways: Matrix ringA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Improved Ring Oscillator PUF: An FPGA-friendly Secure Primitive
Efficient algorithm for primitive ring statistics in topological networks
Regional Primitive Equation Studies of the Gulf Stream Meander and Ring Formation Region
Cyclotomic numbers and primitive idempotents in the ring GF(q)[x]/(xpn−1)
Primitive-Equation Instability of Wide Oceanic Rings. Part II: Numerical Studies of Ring Stability
A Topology for the Set of Primitive Ideals in an Arbitrary Ring
A ring primitive on the right but not on the left
A singular primitive ring
🆕 Influential since 2022
Traces of a Primitive RNA Ring in Current Genomes
Ring polymers in two-dimensional melts double-fold around randomly branching “primitive shapes”
The Primitive Deficiency of two Primitive Strings
Primitive idempotents in a semisimple ring
Cyclotomic Cosets of Primitive Idempotents in Semi Simple Ring
📚 Books worth reading
Nilpotent orbits, primitive ideals, and characteristic classesRanked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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