TY  - BOOK
AU  - Aljadeff,Eli
AU  - Giambruno,A.
AU  - Procesi,Claudio
AU  - Regev,Amitai
TI  - Rings with polynomial identities and finite dimensional representations of algebras
T2  - American Mathematical Society colloquium publications,
SN  - 9781470451745 (HP)
PY  - 2020///
CY  - Rhode Island 
PB  - American Mathematical Society (AMS)
KW  - Polynomial rings
KW  - PI-algebras
KW  - Representations of algebras
KW  - Associative rings and algebras {For the commutative case, see 13-XX} -- Algebras and orders {For arithmetic aspects, see 11R52, 11R54, 11S45; for representation theory, see 16G30} -- Separable algebra
KW  - Associative rings and algebras {For the commutative case, see 13-XX} -- Rings with polynomial identity -- $T$-ideals, identities, varieties of rings and algebras
KW  - Associative rings and algebras {For the commutative case, see 13-XX} -- Rings with polynomial identity -- Semiprime p.i. rings, rings embeddable in matrices over commutative rings
KW  - Associative rings and algebras {For the commutative case, see 13-XX} -- Rings with polynomial identity -- Trace rings and invariant theory
KW  - Linear and multilinear algebra; matrix theory -- Basic linear algebra -- Exterior algebra, Grassmann algebras
KW  - Linear and multilinear algebra; matrix theory -- Basic linear algebra -- Vector and tensor algebra, theory of invariants [See also 13A50, 14L24]
KW  - Algebraic geometry -- Algebraic groups {For linear algebraic groups, see 20Gxx; for Lie algebras, see 17B45} -- Geometric invariant theory [See also 13A50]
KW  - Associative rings and algebras {For the commutative case, see 13-XX} -- Radicals and radical properties of rings -- Prime and semiprime rings [See also 16D60, 16U10]
KW  - Associative rings and algebras {For the commutative case, see 13-XX} -- Chain conditions, growth conditions, and other forms of finiteness -- Growth rate, Gelfand-Kirillov dimension
N1  - Includes bibliographical references, Index and index of symbols; 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 -- Invariants and trace identities -- Involutions and matrices -- A geometric approach -- Spectrum and dimension -- The nilpotent radical -- Finite dimensional and affine PI algebras -- The relatively free algebras -- Identities and superalgebras -- The Specht problem -- The PI-exponent -- Codimension growth for matrices -- Codimension growth for algebras satisfying a Capelli identity
ER  -