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arXiv · 1704.05006

Generalized Projections in Zn

Anil Khairnar·B. N. Waphare
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Abstract

We consider the ring $\mathbb Z_n$ (integers modulo $n$) with the partial order `$\leq$' given by `$a \leq b$ if either $a=b$ or $a\equiv ab~(mod~n)$'. In this paper, we obtain necessary and sufficient conditions for the poset ($\mathbb Z_n,~\leq$) to be a lattice.

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Anil Khairnar, B. N. Waphare. 2017-04-17. Generalized Projections in Zn. https://arxiv.org/abs/1704.05006

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