Found 39 Documents (Results 1–39)
On the maximum dimensions of subalgebras of \(M_n (K)\) satisfying two related identities. (English) Zbl 07901457
The structure of subalgebras of full matrix algebras over a field satisfying the identity \([x_1, y_1][x_2, y_2] \cdots [x_q, y_q]=0\). (English) Zbl 07897479
Reviewer: Matyas Domokos (Budapest)
The isomorphism problem in the context of PI-theory for two-dimensional Jordan algebras. (English) Zbl 07796481
Reviewer: Vesselin Drensky (Sofia)
Representations via differential algebras and equationally Noetherian algebras. (English) Zbl 1531.12003
Reviewer: Plamen Koshlukov (Campinas)
\(Y\)-proper graded cocharacters of the algebra \(UT_m(F)\) of \(m \times m\) upper triangular matrices over \(F\). (English) Zbl 1517.16019
Reviewer: Plamen Koshlukov (Campinas)
Automorphisms and superalgebra structures on the Grassmann algebra. (English) Zbl 1528.16037
Reviewer: Vesselin Drensky (Sofia)
Codimension growth for polynomial identities of representations of Lie algebras. (English) Zbl 1537.16026
Reviewer: Vesselin Drensky (Sofia)
Polynomial identities for the Jordan algebra of \(2 \times 2\) upper triangular matrices. (English) Zbl 1485.17032
Reviewer: Vesselin Drensky (Sofia)
\((\delta,\varepsilon)\)-differential identities of \(UT_m(F)\). (English) Zbl 1486.16047
Di Vincenzo, Onofrio Mario (ed.) et al., Polynomial identities in algebras. Proceedings of the INDAM workshop, Roma, Italy, September 16–20, 2019. Cham: Springer. Springer INdAM Ser. 44, 319-333 (2021).
Codimension growth for weak polynomial identities, and non-integrality of the PI exponent. (English) Zbl 1494.16023
Di Vincenzo, Onofrio Mario (ed.) et al., Polynomial identities in algebras. Proceedings of the INDAM workshop, Roma, Italy, September 16–20, 2019. Cham: Springer. Springer INdAM Ser. 44, 227-268 (2021).
Reviewer: Victor Petrogradsky (Brasília)
Central polynomials with involution for the algebra of \(2 \times 2\) upper triangular matrices. (English) Zbl 1469.16047
Graded polynomial identities for the upper triangular matrix algebra over a finite field. (English) Zbl 1442.16042
Reviewer: Wei Feng (Beijing)
Noncommutative invariant theory of symplectic and orthogonal groups. (English) Zbl 1459.05336
Reviewer: Matyas Domokos (Budapest)
Additive primitive length in relatively free algebras. (English) Zbl 1429.17007
Reviewer: Şehmus Findik (Adana)
To Chang theorem. III. (Russian. English summary) Zbl 1426.16018
MSC:
16R10
Identities with involution for \(2\times 2\) upper triangular matrices algebra over a finite field. (English) Zbl 1387.16016
Rationality of Hilbert series in noncommutative invariant theory. (English) Zbl 1405.16032
Reviewer: Victor Petrogradsky (Brasilia)
Lie solvability and the identity \([x_{1},y_{1}][x_{2},y_{2}]\cdots[x_{q},y_{q}]=0\) in certain matrix algebras. (English) Zbl 1370.16022
Graded identities of block-triangular matrices. (English) Zbl 1355.16015
Reviewer: Vesselin Drensky (Sofia)
\(\mathbb ZS_n\)-modules and polynomial identities with integer coefficients. (English) Zbl 1302.16016
Reviewer: Vesselin Drensky (Sofia)
Example of simple finite dimensional algebra with no finite basis of its identities. (English) Zbl 1367.17002
\(Y\)-proper graded cocharacters and codimensions of upper triangular matrices of size 2, 3, 4. (English) Zbl 1279.16018
Reviewer: Plamen Koshlukov (Campinas)
Standard basis in the T-ideal formed by polynomial identities of triangular matrices. (English. Russian original) Zbl 1290.16019
J. Math. Sci., New York 177, No. 6, 908-914 (2011); translation from Fundam. Prikl. Mat. 16, No. 3, 193-203 (2010).
Varieties of superalgebras of almost polynomial growth. (English) Zbl 1236.16020
Reviewer: Vesselin Drensky (Sofia)
Characterizing varieties of colength \(\leq 4\). (English) Zbl 1179.16009
Reviewer: Vesselin Drensky (Sofia)
Varieties of almost polynomial growth: classifying their subvarieties. (English) Zbl 1119.16022
Reviewer: Vesselin Drensky (Sofia)
Polynomial identities on superalgebras: classifying linear growth. (English) Zbl 1116.16028
Reviewer: Victor Petrogradsky (Ulyanovsk)
Identities of group algebras. (English) Zbl 1102.16014
Reviewer: S. V. Mihovski (Plovdiv)
PI-algebras with slow codimension growth. (English) Zbl 1071.16021
Reviewer: Matyas Domokos (Budapest)
MSC:
16R10
Polynomial identities on superalgebras and exponential growth. (English) Zbl 1039.16021
Reviewer: Plamen Koshlukov (Campinas)
Generic \(2\times 2\) matrices in positive characteristic. (English) Zbl 0947.16012
Reviewer: Plamen Koshlukov (Campinas)
New polynomial identities for \(2\times 2\) generic matrices in characteristic \(2\). (English) Zbl 0935.16010
Reviewer: M.Domokos (Budapest)
On identities of baric algebras and superalgebras. (English) Zbl 0890.17034
Reviewer: Boris Vernikov (Ekaterinburg)
Symmetric T-ideals. (English) Zbl 0659.16013
On the Hilbert series of relatively free algebras. (English) Zbl 0549.16009
Reviewer: Yu.A.Bakhturin
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