Rings with Polynomial Identities and Finite Dimensional Representations of Algebras
Rings with Polynomial Identities and Finite Dimensional Representations of Algebras2020
Antonio Giambruno, Amitai Regev, Claudio Procesi, Eli Aljadeff
Details
- First published
- 2020
- OL Work ID
- OL21955441W
Subjects
MathematicsPolynomial ringsPI-algebrasRepresentations of algebrasAssociative 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 algebraAssociative rings and algebras {For the commutative case, see 13-XX} -- Rings with polynomial identity -- $T$-ideals, identities, varieties of rings and algebrasAssociative rings and algebras {For the commutative case, see 13-XX} -- Rings with polynomial identity -- Semiprime p.i. rings, rings embeddable in matrices over commutative ringsAssociative rings and algebras {For the commutative case, see 13-XX} -- Rings with polynomial identity -- Trace rings and invariant theoryAssociative rings and algebras {For the commutative case, see 13-XX} -- Rings and algebras with additional structure -- Actions of groups and semigroups; invariant theoryLinear and multilinear algebra; matrix theory -- Basic linear algebra -- Exterior algebra, Grassmann algebrasLinear and multilinear algebra; matrix theory -- Basic linear algebra -- Vector and tensor algebra, theory of invariants [See also 13A50, 14L24]Algebraic geometry -- Algebraic groups {For linear algebraic groups, see 20Gxx; for Lie algebras, see 17B45} -- Geometric invariant theory [See also 13A50]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]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