Feebly associativeP-hypergroupoids |
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| Authors: | Renato Migliorato Stefanos Spartalis |
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| Institution: | 1. Department of Mathematics, University of Messina, Contr. Papardo - S. Agata, 98166, Messina, Italy
2. Department of Mathematics School of Engineering Democritus, University of Thrace, 67100, Xanthi, Greece
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| Abstract: | In this paper we study the hyperstructures, saidP-hypergroupoids, (H, P*) in whichH is a set andP* is one of the hyperoperations defined as follows: ?(x, y) εH 2,xP*y=xyP orxP*y=Pxy whereP is a subset ofH. In particular we give a general formula for to express the simple hyperproducts ofn elements and then we consider some cases in which (H, P*) is feebly associative. We study, in such cases theβ-relations. |
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