Normal hyperideals in Krasner (m, n)-hyperrings

Morteza Norouzi,Reza Ameri,Violeta Leoreanu-Fotea

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA（2018）

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摘要

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.

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关键词

n-hypergroup,Krasner (m, n)-hyperring,Normal hyperideal

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