• Journal of applied mathematics & informatics
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• 제20권1_2호
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• pp.255-277
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• 2006

By means of the use of a triangular norm T, the notion of T-fuzzy hyperideals in hypernear-rings is stated, and basic properties are investigated. Moreover, the notion of Noetherian hypernear-rings is introduced, and its characterization is given. At last, the properties of quotient hypernear-rings and T-fuzzy characteristic hyper ideals are discussed.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제30권4호
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• pp.377-395
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• 2023

The purpose of this paper is to consider the abstract theory of hypernear rings. In this regard, we derive the isomorphism theorems for hypernear rings as well as Chinese Remainder theorem. Our results can be considered as a generalization for the cases of Krasner hyperrings, near rings and rings.

• 충청수학회지
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• 제23권2호
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• pp.237-243
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• 2010

In this paper, we investigate some properties of T-fuzzy subhypernear-rings of a hypernear-ring.