Tolerances on certain conservative and extensive hypergroupoids (Q2759828)
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scientific article; zbMATH DE number 1683836
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Tolerances on certain conservative and extensive hypergroupoids |
scientific article; zbMATH DE number 1683836 |
Statements
10 July 2002
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hypergroupoid
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2-conservative
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3-conservative
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extensive
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tolerance
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congruence
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Tolerances on certain conservative and extensive hypergroupoids (English)
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A hypergroupoid is an ordered pair \((H,*)\), where \(H\) is a set and \(*\) is an operation which assigns a non-empty subset \(x*y\) of \(H\) to any ordered pair \(x,y\) of elements of \(H\). Particular cases of hypergroupoids are semihypergroups and hypergroups. The concepts of 2-conservative, 3-conservative, extensive, and 2-extensive hypergroupoid are defined. Analogously to groupoids, tolerance and congruence relations on them are introduced and their properties are studied.NEWLINENEWLINEFor the entire collection see [Zbl 0970.00014].
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