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- W2093024897 abstract "A module of complexity c for E ≅ ( Z / p ) r in characteristic p has Loewy length at least ( p − 1 ) ( r − c ) + 1 . We study the case of equality. If p is odd, the only rank varieties possible are finite unions of linear subspaces of dimension c , and every such rank variety occurs. If p = 2 , the variety has to be equidimensional. If such a variety is a finite union of set theoretic complete intersections then it occurs for such a module, but otherwise the situation is unclear. Exterior algebras in any characteristic are also treated, and follow the same behaviour as the case p = 2 above." @default.
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- W2093024897 date "2014-09-01" @default.
- W2093024897 modified "2023-09-30" @default.
- W2093024897 title "Modules with small Loewy length" @default.
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- W2093024897 doi "https://doi.org/10.1016/j.jalgebra.2014.05.028" @default.
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