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- Title
Normal hyperideals in Krasner (m, n)-hyperrings.
- Authors
Norouzi, Morteza; Ameri, Reza; Leoreanu-Fotea, Violeta
- Abstract
Using a new definition, with respect to [21], for normal hyperideals in Krasner (m, n)-hyperrings, we show that the corresponding quotient structures are (m, n)-rings. We prove equivalency of (strongly) regular and (strongly) compatible relations on n-ary hypergroups. Also, the connection between (m, n)-hyperfields and maximal normal hyperideals is investigated.
- Subjects
HYPERGROUPS; QUOTIENT rings; EQUIVALENCY tests; STATISTICS; HYPOTHESIS; MATHEMATICAL equivalence
- Publication
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018, Vol 26, Issue 3, p197
- ISSN
1224-1784
- Publication type
Article
- DOI
10.2478/auom-2018-0041