Abelian gradings on upper-triangular matrices
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Publication:1396705
DOI10.1007/s000130300001zbMath1025.16020OpenAlexW2026657865MaRDI QIDQ1396705
Publication date: 8 July 2003
Published in: Archiv der Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s000130300001
Endomorphism rings; matrix rings (16S50) Graded rings and modules (associative rings and algebras) (16W50)
Related Items (21)
Gradings on the algebra of upper triangular matrices and their graded identities. ⋮ \(\mathbb{Z}_2\)-graded cocharacters for superalgebras of triangular matrices. ⋮ Graded linear maps on superalgebras ⋮ Involutions for upper triangular matrix algebras. ⋮ Gradings on incidence algebras and their graded polynomial identities ⋮ Group gradings on the Jordan algebra of upper triangular matrices ⋮ On the factorability of polynomial identities of upper block triangular matrix algebras graded by cyclic groups ⋮ Polynomial identities in matrix algebras with pseudoinvolution ⋮ Gradings on block-triangular matrix algebras ⋮ \(Y\)-proper graded cocharacters of the algebra \(UT_m(F)\) of \(m \times m\) upper triangular matrices over \(F\) ⋮ \(Y\)-proper graded cocharacters and codimensions of upper triangular matrices of size 2, 3, 4. ⋮ ALGEBRAIC QUANTUM PERMUTATION GROUPS ⋮ Polynomial identities on superalgebras and exponential growth ⋮ Group gradings on upper block triangular matrices ⋮ Superinvolutions on upper-triangular matrix algebras ⋮ Group Gradings in Incidence Algebras ⋮ \(Y\)-proper graded cocharacters of upper triangular matrices of order \(m\) graded by the \(m\)-tuple \(\phi=(0,0,1,\ldots,m-2)\). ⋮ Graded Involutions on Upper-triangular Matrix Algebras ⋮ Elementary and Good Group Gradings of Incidence Algebras over Partially-Ordered Sets with Cross-Cuts ⋮ Good Magma Gradings on Rings ⋮ Gradings induced by nilpotent elements
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