On Neutral Elements in a Lattice

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DOI:

https://doi.org/10.18311/jims/1964/16852

Abstract

This paper deals with neutral elements and shows that it is possible to define neutrality of an element by a single equality, (i.e., a solution to problem 3 of [3] ). It also extends the theorem of J . Von Neumann that "an element of a complemented modular lattice L is neutral if and only if its complement is unique" to relatively complemented lattices, (i.e., solution to problem 16 of [3] ).

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Published

1964-03-01

How to Cite

Iqbalunnisa, . (1964). On Neutral Elements in a Lattice. The Journal of the Indian Mathematical Society, 28(1), 25–31. https://doi.org/10.18311/jims/1964/16852