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Relations on Krasner \((m,n)\)-hyperrings. - MaRDI portal

Relations on Krasner \((m,n)\)-hyperrings. (Q966136)

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scientific article; zbMATH DE number 5702074
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Relations on Krasner \((m,n)\)-hyperrings.
scientific article; zbMATH DE number 5702074

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    Relations on Krasner \((m,n)\)-hyperrings. (English)
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    27 April 2010
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    \textit{G. Crombez} [Abh. Math. Semin. Univ. Hamb. 37, 180-199 (1972; Zbl 0247.08001)] generalized the concept of rings to the case of \(n\)-ary operations. Now this concept is extended to \(n\)-ary hyperoperations. Very elementary properties of such hyper-algebras are proved.
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    \((m,n)\)-rings
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    \((m,n)\)-hyperrings
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    hyperoperations
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    Krasner hyperrings
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    \(n\)-ary operations
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