Noor, A. S. A.; Cornish, W. H. Around a neutral element in a nearlattice. (English) Zbl 0627.06008 Commentat. Math. Univ. Carol. 28, 199-210 (1987). A nearlattice is defined to be a lower semilattice having the property that any two elements possessing a common upper bound have a supremum. Several notions which have been studied earlier for lattices (e.g., standard element, neutral element) are introduced and investigated in the case of nearlattices. Next, some results of M. Kolibiar [Czech. Math. J. 6(81), 318–329 (1956; Zbl 0075.02001)] on a ternary operation in lattices are extended for nearlattices. Reviewer: Jan Jakubík (Košice) Cited in 1 Review MSC: 06A12 Semilattices 06B10 Lattice ideals, congruence relations Keywords:lower semilattice; standard element; neutral element; nearlattices Citations:Zbl 0075.02001 PDFBibTeX XMLCite \textit{A. S. A. Noor} and \textit{W. H. Cornish}, Commentat. Math. Univ. Carol. 28, 199--210 (1987; Zbl 0627.06008) Full Text: EuDML