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Smooth Surjections Without Surjective Restrictions

✍ Scribed by Richard M. Aron, Jesús A. Jaramillo, Thomas Ransford


Book ID
120956746
Publisher
Springer-Verlag
Year
2012
Tongue
English
Weight
272 KB
Volume
23
Category
Article
ISSN
1050-6926

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Idempotence-preserving maps without the
✍ Xian Zhang 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 237 KB

Let M n (F) be the space of all n × n matrices over a field F of characteristic not 2, and let P n (F) be the subset of M n (F) consisting of all n × n idempotent matrices. We denote by n (F) the set of all maps from M n (F) to itself satisfying A -λB ∈ P n (F) if and only if φ(A)λφ(B) ∈ P n (F) for