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1.
A note on composition (m,n)-hyperrings
Morteza Norouzi, Irina Elena Cristea, 2017, izvirni znanstveni članek

Opis: Based on the concepts of composition ring and composition hyperring, in this note we introduce the notion of composition structure for (m,n)-hyperrings and study the connections with composition hyperrings. Moreover we show that particular strong endomorphisms of (m,n)-hyperrings can determine the composition structure of such (m,n)-hyperrings. Finally, the three isomorphism theorems are presented in the case of composition (m, n)-hyperrings, showing that they are not a pure extension of those for composition hyperrings.
Ključne besede: n-hypergroup, (m, n)-hyperring, composition hyperideal
Objavljeno v RUNG: 13.07.2017; Ogledov: 3938; Prenosov: 0
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2.
Hyperrings with n -ary composition hyperoperation
Morteza Norouzi, Irina Elena Cristea, 2017, izvirni znanstveni članek

Opis: Based on the concepts of composition ring and composition hyperring, in this note we introduce the notion of $n$-ary composition hyperring and study the connections with composition hyperrings. Moreover we show that special strong multiendomorphisms of hyperrings can determine the $n$-ary composition structure of a such hyperring and also a subclass of $n$-ary composition hyperrings. Finally, the three isomorphism theorems are studied in the framework of $n$-ary composition hyperrings.
Ključne besede: n-ary hypergroup, (m, n)-hyperring, composition hyperring, n-ary composition hyperideal
Objavljeno v RUNG: 10.07.2017; Ogledov: 3901; Prenosov: 0
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