Multipliers on a nearlattice (original) (raw)

Institute of Mathematics of the Academy of Sciences of the Czech Republic provides access to digitized documents strictly for personal use. Each copy of any part of this document must contain these Terms of use. This paper has been digitized, optimized for electronic delivery and stamped with digital signature within the project DML-CZ: The Czech Digital Mathematics Library http://project.dml.cz COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE 27,4 (1986) MULTIPLIERS ON A NEAR LATTICE A. S. A. NOOR and William H. CORNISH Abstrаct A nearlattice is a lower semilattice in which any two elements have a supremum whenever they are bounded above. Here we generalize the con cept of direct summand to nearlattices and show that the direct summands of a nearlattice S with 0 are precisely the central elements of J(S), the lattice of ideals. Then we discuss multipliers (meet translations) on nearlattices.