Complete join hyperlattices

A. Soltani Lashkenari and B. Davvaz ()
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A. Soltani Lashkenari: Yazd University
B. Davvaz: Yazd University

Indian Journal of Pure and Applied Mathematics, 2015, vol. 46, issue 5, 633-645

Abstract: Abstract Hyperlattices are a suitable generalization of ordinary lattices. In this paper, we consider join hyperlattices and define complete join hyperlattices. We investigate some properties of them. Also, we consider some well-known hyperlattices such as Nakano superlattices and P-hyperlattices, and we show that under certain conditions, they are complete. Then, we define completion of a join hyperlattice.

Keywords: Algebraic hyperstructures; hyperlattice; ideal; filter; prime element; complete hyperlattice (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/s13226-015-0130-y

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