Lattices of Annihilators in Commutative Algebras Over Fields

Małgorzata Jastrzębska, Jan Krempa · Demonstratio Mathematica · 2015

Abstract Let K be any field and L be any lattice. In this note we show that L is a sublattice of annihilators in an associative and commutative K-algebra. If L is finite, then our algebra will be finite dimensional over K.

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