Coupled right orthosemirings induced by orthomodular lattices (Q523140)

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Coupled right orthosemirings induced by orthomodular lattices
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    Coupled right orthosemirings induced by orthomodular lattices (English)
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    20 April 2017
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    The authors consider the connection between MV-algebras and (dually) lattice-ordered semirings introduced by \textit{L. P. Belluce} et al. [ibid. 30, No. 1, 165--179 (2013; Zbl 1263.06004)]. A similar connection is found for basic algebras and semilattice-ordered right near-semirings. Also an analogous connection for orthomodular lattices and some semilattice-ordered near-semirings is established.
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    orthomodular lattice
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    right near-semiring
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    semilattice ordered right near-semiring
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    coupled right orthosemiring
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