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Standard elements in a nearlattice

Published online by Cambridge University Press:  17 April 2009

William H. Cornish  and
A.S.A. Noor
William H. Cornish
Affiliation:
School of Mathematical Sciences, Flinders University, Bedford Park, South Australia 5042, Australia;
A.S.A. Noor
Affiliation:
Department of Mathematics, University of Rajshahi, Rajshahi, Bangladesh.
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Abstract

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Nearlattices, or lower semllattices in which any two elements have a supremum whenever they are bounded above, provide an interesting generalization of lattices. In this context, we study standard, neutral, and central elements, as well as standard ideals. A new perspective is obtained in the well established case of lattices.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 26 , Issue 2 , October 1982 , pp. 185 - 213
Copyright
Copyright © Australian Mathematical Society 1982

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