Geodesic
Associative algebras with a distributive lattice of subalgebras
Algebra i logika, Tome 59 (2020) no. 5, pp. 517-528.

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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 the nil-radical is an algebraic extension of the base field.
Keywords: lattice of subalgebras, distributive lattice, lattice of subextensions of field. 
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A. G. Gein. Associative algebras with a distributive lattice of subalgebras. Algebra i logika, Tome 59 (2020) no. 5, pp. 517-528. http://geodesic.mathdoc.fr/item/AL_2020_59_5_a0/

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