For 3x3 and 4x4 matrices, the map A1 x1^k + A2 x2^k is surjective if and only if the nullity of A2 meets conditions depending on n and k, when A1 is invertible.
Polynomial maps with constants on split octonion algebras
2 Pith papers cite this work. Polarity classification is still indexing.
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Cochordal zero-divisor graphs of chain rings admit refined Betti formulas yielding 2-linear resolutions for the studied quotient rings.
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Polynomial Maps with Constants on Matrix Algebra
For 3x3 and 4x4 matrices, the map A1 x1^k + A2 x2^k is surjective if and only if the nullity of A2 meets conditions depending on n and k, when A1 is invertible.
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Betti numbers for cochordal zero-divisor graphs of commutative rings
Cochordal zero-divisor graphs of chain rings admit refined Betti formulas yielding 2-linear resolutions for the studied quotient rings.