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<p>We prove that every algebraic lattice is isomorphic to a complete sublattice in the subalgebra lattice of an algebra from a list of some prominent classes of algebras such as nilsemigroups, semilattices, associative rings, Boolean algebras, distributive lattices.</p>

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Algebraic lattices and lattices of subalgebras

  • 期刊论文

  • 发表日期：

    2025年8月8日

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  • Vladimir B. Repnitskiǐ

摘要

We prove that every algebraic lattice is isomorphic to a complete sublattice in the subalgebra lattice of an algebra from a list of some prominent classes of algebras such as nilsemigroups, semilattices, associative rings, Boolean algebras, distributive lattices.