A minimal basis of identities for a second-order matrix algebra over a field of characteristic 0
From MaRDI portal
Publication:1170330
DOI10.1007/BF01669018zbMath0496.16017OpenAlexW2033464588MaRDI QIDQ1170330
Publication date: 1982
Published in: Algebra and Logic (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/187136
free algebrairreducible modulespolynomial identitiesmultilinear polynomialsalgebra of 2x2 matricesbasis for T-ideal
Endomorphism rings; matrix rings (16S50) Lie algebras and Lie superalgebras (17B99) Rings with polynomial identity (16Rxx)
Related Items (32)
Tensor product theorems in positive characteristic. ⋮ On the graded identities for elementary gradings in matrix algebras over infinite fields. ⋮ Weak polynomial identities for the matrix algebra of order two ⋮ Constructing the polynomial identities and central identities of degree \(<9\) of \(3\times 3\) matrices ⋮ Minimal identities of octonion algebras ⋮ Graded central polynomials for the matrix algebra of order two. ⋮ Automorphisms and superalgebra structures on the Grassmann algebra ⋮ Identities and cocharacters of the algebra of \(3 \times 3\) matrices with non-trivial grading and transpose graded involution ⋮ On the graded central polynomials for elementary gradings in matrix algebras ⋮ Unnamed Item ⋮ On the polynomial identities of the algebra \(M_{11}(E)\). ⋮ Graded monomial identities and almost non-degenerate gradings on matrices ⋮ Images of multilinear graded polynomials on upper triangular matrix algebras ⋮ Trace codimensions of algebras and their exponential growth ⋮ Identities and central polynomials for real graded division algebras ⋮ A Lie algebra over a finite field of characteristic 2: graded polynomial identities and Specht property ⋮ Matrix identities involving multiplication and transposition. ⋮ The isomorphism problem in the context of PI-theory for two-dimensional Jordan algebras ⋮ Polynomial identities on superalgebras and exponential growth ⋮ Central polynomials in the matrix algebra of order two. ⋮ Generic \(2\times 2\) matrices in positive characteristic ⋮ Weak polynomial identities and their applications ⋮ Graded polynomial identities and central polynomials of matrices over an infinite integral domain ⋮ 2-graded polynomial identities for the Jordan algebra of the symmetric matrices of order two ⋮ On the identities of the Grassmann algebras in characteristic \(p>0\) ⋮ GRADED IDENTITIES AND PI EQUIVALENCE OF ALGEBRAS IN POSITIVE CHARACTERISTIC ⋮ Graded identities of block-triangular matrices ⋮ Polynomial identities for the Jordan algebra of \(2 \times 2\) upper triangular matrices ⋮ Basis of graded identities of the superalgebra \(M_{1,2}(F)\). ⋮ On the graded identities and cocharacters of the algebra of \(3\times 3\) matrices ⋮ Graded polynomial identities of matrices ⋮ Graded algebras with polynomial growth of their codimensions.
Cites Work
This page was built for publication: A minimal basis of identities for a second-order matrix algebra over a field of characteristic 0