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Published in 2020 at "Algebra and Logic"
DOI: 10.1007/s10469-020-09608-6
Abstract: We give a full description of associative algebras over an arbitrary field, whose subalgebra lattice is distributive. All such algebras are commutative, their nil-radical is at most two-dimensional, and the factor algebra with respect to…
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Keywords:
associative algebras;
distributive lattice;
algebras distributive;
lattice subalgebras ... See more keywords