Composition hyperrings
نویسندگان
چکیده
منابع مشابه
Composition hyperrings
In this paper we introduce the notion of composition hyperring. We show that the composition structure of a composition hyperring is determined by a class of its strong multiendomorphisms. Finally, the three isomorphism theorems of ring theory are derived in the context of composition hyperrings.
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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 a such (m,n)-hyperrings. Finally, the three isomorphism theorems are pres...
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In this paper, our aim is to introduce the notion of a composition (m,n, k)-hyperring and to analyze its properties. We also consider the algebraic structure of (m,n, k) hyperrings which is a generalization of composition rings and composition hyperrings. Also, the isomorphism theorems of ring theory are derived in the context of composition (m,n, k)-hyperrings.
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ژورنال
عنوان ژورنال: Analele Universitatii "Ovidius" Constanta - Seria Matematica
سال: 2013
ISSN: 1844-0835
DOI: 10.2478/auom-2013-0024