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Characterization of Additive (m, n)-Semihyperrings

  • 투고 : 2013.11.09
  • 심사 : 2014.08.21
  • 발행 : 2015.09.23

초록

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.

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참고문헌

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