Noncommutative algebra -- Universal algebra -- Symmetric functions and matrix invariants -- Polynomial maps -- Azumaya algebras and irreducible representations -- Tensor symmetry -- Growth -- Shirshov's theorem -- 2 x 2 matrices -- Matrix identities -- Structure theorems -- Inva…
A polynomial identity for an algebra (or a ring) A is a polynomial in noncommutative variables that vanishes under any evaluation in A. An algebra satisfying a nontrivial polynomial identity is call a PI algebra, and this is the main object of study in this book, which can be us…
A polynomial identity for an algebra (or a ring) A is a polynomial in noncommutative variables that vanishes under any evaluation in A. An algebra satisfying a nontrivial polynomial identity is call a PI algebra, and this is the main object of study in this book, which can be us…
"This volume represents the proceedings of the conference on Groups, Rings and Group Rings, held July 28-August 2, 2008, in Ubatuba, Brazil. Papers in this volume contain results in active research areas in the theory of groups, group rings and algebras (including noncommutative…
