Author | Drensky, Vesselin. author |
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Title | Polynomial Identity Rings [electronic resource] / by Vesselin Drensky, Edward Formanek |
Imprint | Basel : Birkhรคuser Basel : Imprint: Birkhรคuser, 2004 |
Connect to | http://dx.doi.org/10.1007/978-3-0348-7934-7 |
Descript | VII, 200 p. online resource |
A Combinatorial Aspects in PI-Rings -- Vesselin Drensky -- 1 Basic Properties of PI-algebras -- 2 Quantitative Approach to PI-algebras -- 3 The Amitsur-Levitzki Theorem -- 4 Central Polynomials for Matrices -- 5 Invariant Theory of Matrices -- 6 The Nagata-Higman Theorem -- 7 The Shirshov Theorem for Finitely Generated PI-algebras -- 8 Growth of Codimensions of PI-algebras -- B Polynomial Identity Rings -- Edward Formanek -- 1 Polynomial Identities -- 2 The Amitsur-Levitzki Theorem -- 3 Central Polynomials -- 4 Kaplanskyโs Theorem -- 5 Theorems of Amitsur and Levitzki on Radicals -- 6 Posnerโs Theorem -- 7 Every PI-ring Satisfies a Power of the Standard Identity -- 8 Azumaya Algebras -- 9 Artinโs Theorem -- 10 Chain Conditions -- 11 Hilbert and Jacobson PI-Rings -- 12 The Ring of Generic Matrices -- 13 The Generic Division Ring of Two 2 x 2 Generic Matrices -- 14 The Center of the Generic Division Ring -- 15 Is the Center of the Generic Division Ring a Rational Function Field?