Subvarieties of the Varieties Generated by the SuperalgebraM1, 1(E) orM2(𝒦)
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Publication:4803363
DOI10.1081/AGB-120016768zbMath1039.16022OpenAlexW1581195837MaRDI QIDQ4803363
Vincenzo C. Nardozza, Vesselin Drensky, Onofrio Mario di Vincenzo
Publication date: 2 April 2003
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1081/agb-120016768
Endomorphism rings; matrix rings (16S50) Graded rings and modules (associative rings and algebras) (16W50) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Exterior algebra, Grassmann algebras (15A75) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20) ``Super (or ``skew) structure (16W55)
Related Items
\(\mathbb{Z}_2\)-graded cocharacters for superalgebras of triangular matrices. ⋮ On \(*\)-cocharacters of \(M_{1,1}(E)\). ⋮ On \(\mathbb Z_2\)-graded identities of the generalized Grassmann envelope of the upper triangular matrices \(UT_{k,l}(F)\). ⋮ \(Y\)-proper graded cocharacters of the algebra \(UT_m(F)\) of \(m \times m\) upper triangular matrices over \(F\) ⋮ Comparing the \(\mathbb{Z}_2\)-graded identities of two minimal superalgebras with the same superexponent ⋮ \(Y\)-proper graded cocharacters and codimensions of upper triangular matrices of size 2, 3, 4. ⋮ \(Y\)-proper graded cocharacters of upper triangular matrices of order \(m\) graded by the \(m\)-tuple \(\phi=(0,0,1,\ldots,m-2)\). ⋮ On \(\mathbb Z_2\)-graded identities of the super tensor product of \(UT_2(F)\) by the Grassmann algebra. ⋮ \(\mathbb Z_2\)-graded identities of the Grassmann algebra in positive characteristic. ⋮ On \(\mathbb Z_2\)-graded polynomial identities of the Grassmann algebra.
Cites Work
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