𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Maps on spaces of symmetric matrices preserving idempotence

✍ Scribed by Yu Qiu Sheng; Bao Dong Zheng; Xian Zhang


Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
154 KB
Volume
420
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Maps on matrix algebras preserving idemp
✍ Gregor Dolinar πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 115 KB

Let M n be the algebra of all n Γ— n complex matrices and P n the set of all idempotents in M n . Suppose Ο† : M n β†’ M n is a surjective map satisfying A -Ξ»B ∈ P n if and only if

Linear maps preserving idempotence on ma
✍ Liu Shaowu πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 379 KB

Let R be a commutative principal ideal domain, T : Mn(R) --\* Mm(R) an R-linear map which preserves idempotence. We determine the forms of T when n >/m and R ~ Fz, and solve some of Beasley's open problems. As a consequence, we prove that the set -~(R) of all R-linear maps on Mn(R) which preserve bo