Two Generalizations Of Bounded Involutive Lattices And Of Ortholattices
JOURNAL OF APPLIED LOGICS-IFCOLOG JOURNAL OF LOGICS AND THEIR APPLICATIONS（2021）
摘要
We introduce and study two dual independent absorption laws and two generalizations of bounded lattices and, consequently, two corresponding generalizations of bounded involutive lattices and two corresponding generalizations of ortholattices; a proper subclass of MV algebras is obtained. Many examples are provided.
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关键词
m-MEL algebra, m-BE algebra, m-pre-BCK algebra, m-BCK algebra, MV algebra, lattice, bounded involutive lattice, ortholattice, softlattice, widelattice, bounded involutive softlattice, bounded involutive widelattice, orthosoftlattice, orthowidelattice, Boolean algebra
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