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…
"Noncommutative Polynomial Algebras of Solvable Type and Their Modules is the first book to systematically introduce the basic constructive-computational theory and methods developed for investigating solvable polynomial algebras and their modules. In doing so, this book covers:…
Solvable polynomial algebras -- Gröbner basis theory of free modules -- Computation of finite free resolutions and projective dimension -- Computation of minimal finite graded free resolutions -- Computation of minimal finite filtered free resolutions. "Noncommutative Polynomia…
"Noncommutative Polynomial Algebras of Solvable Type and Their Modules is the first book to systematically introduce the basic constructive-computational theory and methods developed for investigating solvable polynomial algebras and their modules. In doing so, this book covers:…
"Noncommutative Polynomial Algebras of Solvable Type and Their Modules is the first book to systematically introduce the basic constructive-computational theory and methods developed for investigating solvable polynomial algebras and their modules. In doing so, this book covers:…
Noncommutative Polynomial Algebras of Solvable Type and Their Modules is the rst book to systematically introduce the basic constructive-computational theory and methods developed for investigating solvable polynomial algebras and their modules. In doing so, this book covers: A …
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