• Korean Journal of Mathematics
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• v.27 no.1
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• pp.63-80
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• 2019

In this paper, we consider a special hypergroup defined by Corsini and we name it Corsini hypergroup. First, we investigate some of its properties and find a necessary and sufficient condition for the productional hypergroup of Corsini hypergroups to be a Corsini hypergroup. Next, we study its regular relations, fundamental group and complete parts. Finally, we characterize all Corsini hypergroups of orders two and three up to isomorphism.

• Journal of applied mathematics & informatics
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• v.6 no.1
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• pp.167-202
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• 1999

In this paper we introduce the concept of an interval-valued fuzzy subhypergroup of a hypergroup which is an extended notion of a fuzzy subhypergroup of a hypergroup and give some properties of such subhypergroups.

• Korean Journal of Mathematics
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• v.6 no.2
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• pp.231-242
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• 1998

On the basis of Heyer and Zeuner's results we will treat the central limit theorem for probability measures on hypergroup.

• Korean Journal of Mathematics
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• v.25 no.4
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• pp.579-585
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• 2017

Based on injectivity, we introduce some definitions in the category NFHG of normal fuzzy hypergroups. And we show that a complete normal fuzzy hypergroup is a weakly injective object in NFHG. Also we investigate weak injectivity in the comma category NFHG/K.

• The Pure and Applied Mathematics
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• v.4 no.2
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• pp.121-130
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• 1997

Our first theorem is concerned with the convergence of nets of Poisson measures on a hypergroup. As a corollary we obtain a characterization of Poisson measures. The second theorem gives a characterization of elementary Poisson measures.

• The Pure and Applied Mathematics
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• v.10 no.3
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• pp.163-169
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• 2003

In this paper we present a new and natural interpretation of subhypergroups in a partially ordered algebra. Then we study their connection with corresponding crisp concepts through their newly defined Q-cuts. The theorems proved also highly generalized the existing ones.

• Bulletin of the Korean Mathematical Society
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• v.50 no.2
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• pp.507-524
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• 2013

The notion of $n$-ary algebraic hyperstructures is a generalization of ordinary algebraic hyperstructures. In this paper, we associate an n-ary hypergroupoid (H, $f$) with an ($n+1$)-ary relation ${\rho}_{n+1}$ defined on a non-empty set H. Then, we obtain some basic results in this respect. In particular, we investigate when it is an $n$-ary $H_v$-group, an $n$-ary hypergroup or a join $n$-ary space.

• Bulletin of the Korean Mathematical Society
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• v.47 no.2
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• pp.307-317
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• 2010

In this paper we find necessary and sufficient conditions for weak amenability of the convolution Banach algebras A(K) and $L^2(K)$ for a compact hypergroup K, together with their applications to convolution Banach algebras $L^p(K)$ ($2\;{\leq}\;p\;<\;{\infty}$). It will further be shown that the convolution Banach algebra A(G) for a compact group G is weakly amenable if and only if G has a closed abelian subgroup of finite index.

• Korean Journal of Mathematics
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• v.1
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• pp.33-39
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• 1993

• Korean Journal of Mathematics
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• v.3 no.2
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• pp.241-248
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• 1995