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      Semimodules over commutative semirings and modules over unitary commutative rings

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          Abstract

          We study the so-called closed and splitting subsemimodules and submodules of a given semimodule or module, respectively. We describe lattices of subsemimodules and of closed subsemimodules and posets of splitting subsemimodules and submodules. In the case of modules a natural bijective correspondence between these posets and posets of projections is established.

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          On the lattice of closed subspaces of Hilbert space

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            Lattices of subspaces of vector spaces with orthogonality

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              The lattice of subspaces of a vector space over a finite field

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                Author and article information

                Journal
                13 July 2019
                Article
                1907.06047
                63438543-0a65-48e4-82b4-9d36186b493d

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                Custom metadata
                06C15, 13C13, 16Y60
                math.RA

                Algebra
                Algebra

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