Weakly associative lattice rings
Dana Šalounová · Czech digital mathematics library · 2000
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 some properties of wai-rings are shown.Wal-ideals are described and straightening, irreducible and semimaximal ideals are introduced and studied.