ON SOME VARIETIES OF WEAKLY ASSOCIATIVE LATTICE RINGS

Dana Šalounová

   The notion of a weakly associative lattice ring (wal-ring) is a generalization of that of a lattice ordered ring in which the identities of associativity of the lattice operations join and meet are replaced by the identities of weak associativity. In the paper the classes of wal-rings representable as subdirect products of to-rings and ao-rings (both being non-transitive generalizations of the class of f-rings) are characterized..

Keywords: weakly associative lattice ring, f-ring

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