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Idempotent elements determined matrix algebras

✍ Scribed by Dengyin Wang; Xiaowei Li; Hui Ge


Book ID
113771949
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
182 KB
Volume
435
Category
Article
ISSN
0024-3795

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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

Zero product determined matrix algebras
✍ Matej BreΕ‘ar; Mateja GraΕ‘ič; Juana SΓ‘nchez Ortega πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 166 KB

Let A be an algebra over a commutative unital ring C. We say that A is zero product determined if for every C-module X and every bilinear map {β€’, β€’} : A Γ— A β†’ X the following holds: if {x, y} = 0 whenever xy = 0, then there exists a linear operator T such that {x, y} = T (xy) for all x, y ∈ A. If we

Matrix-Element Bialgebras Determined by
✍ A. Sudbery πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 781 KB

We develop the theory of Manin's construction of quantum groups from finitely generated quadratic algebras. In general, this construction yields a bialgebra with matrix comultiplication. We give formulae for the relations in the algebra and sufficient conditions for the existence of an antipode and