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Characterization of Additive (m, n)-Semihyperrings
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  • Journal title : Kyungpook mathematical journal
  • Volume 55, Issue 3,  2015, pp.515-530
  • Publisher : Department of Mathematics, Kyungpook National University
  • DOI : 10.5666/KMJ.2015.55.3.515
 Title & Authors
Characterization of Additive (m, n)-Semihyperrings
MIRAKILI, SAEED; DAVVAZ, BIJAN;
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 Abstract
We say that (R, f, g) is an additive (m, n)-semihyperring if R is a non-empty set, f is an m-ary associative hyperoperation, g is an n-ary associative operation and g is distributive with respect to f. In this paper, we describe a number of characterizations of additive (m, n)-semihyperrings which generalize well-known results. Also, we consider distinguished elements, hyperideals, Rees factors and regular relations. Later, we give a natural method to derive the quotient (m, n)-semihyperring.
 Keywords
hypergroup;hyperring;additive (m, n)-semihyperring;hyperideal;strongly regular relation;
 Language
English
 Cited by
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