Some new classes of (m,n)-hyperrings | Zendy

Sanja Jančić-Rašović | Zendy; Vucic Dasic | Zendy

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Some new classes of (m,n)-hyperrings

Author(s) -

Sanja Jančić-Rašović,

Vucic Dasic

Publication year - 2012

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1203585j

Subject(s) - distributivity , mathematics , distributive property , semigroup , state (computer science) , binary relation , discrete mathematics , pure mathematics , combinatorics , algorithm

The notion of (m, n)-ary hyperring was introduced by Davvaz at the 10th AHA congress [9], as the strong distributive structure. In this article we generalize it, by introducing the notion of (m, n)-ary hyperring with inclusive distributivity. We present construction of (m, n)-ary hyperrings associated with binary relations on semigroup. We also state the condition under which there exists (m, n)-ary hyperring of multiendomorphisms for a starting m-ary hypergroup (H, f ). Finaly, we analyze connections between the obtained classes of (m, n)-ary hyperrings.

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