• 충청수학회지
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• 제16권1호
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• pp.73-79
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• 2003

A subgroup S(X, ${\gamma}$) of the group of automorphisms of a universal minimal transformation group is introduced and a necessary and sufficient condition for two subgroups to be identical is obtained.

• 충청수학회지
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• 제14권1호
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• pp.49-59
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• 2001

In this paper, we introduce an extended notion of regular homomorphism of minimal sets by considering a certain subgroup of the group of automorphisms of a universal minimal transfomation group.

• 충청수학회지
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• 제8권1호
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• pp.71-77
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• 1995

In this paper, we define a subgroup S(X, ${\gamma}$) of the group of automorphisms of universal minimal sets and give a necessary and sufficient condition for a minimal transformation group to be regular.

• 대한수학회보
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• 제51권4호
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• pp.1055-1062
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• 2014

Let $O_n$ and $PO_n$ denote the order-preserving transformation and the partial order-preserving transformation semigroups on the set $X_n=\{1,{\ldots},n\}$, respectively. Then the strictly partial order-preserving transformation semigroup $SPO_n$ on the set $X_n$, under its natural order, is defined by $SPO_n=PO_n{\setminus}O_n$. In this paper we find necessary and sufficient conditions for any subset of SPO(n, r) to be a (minimal) generating set of SPO(n, r) for $2{\leq}r{\leq}n-1$.

• 충청수학회지
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• 제21권4호
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• pp.555-562
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• 2008

In this paper, it will be given a necessary and sufficient condition for a function to be an r-homomorphism in connection with the subgroups of the automorphism group of a universal minimal set.

• 충청수학회지
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• 제11권1호
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• pp.59-71
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• 1998

In this paper we define a regular relation with respect to a homomorphism in transformation groups and we find the equivalent conditions for the relation to be an equivalence relation.

• 한국생물공학회:학술대회논문집
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• 한국생물공학회 2000년도 추계학술발표대회 및 bio-venture fair
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• pp.137-140
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• 2000

Numerous novel marine natural products have been discovered and isolated from varied marine organisms by the diligent bio-prospectors over the past decades. An assessment of the current status of commercial development of these natural compounds indicates only minimal commercialization due to the lack of sustainable supply. To bridge the gaps between discovery and commercialization of these tantalizing bioactive compounds, marine bioprocess engineering is the key for its success. The problems, challenges and opportunities for marine bioprocess engineers are examined for the timely transformation of the discovery into commercial reality. Marine bioprocess engineers will find it the most rewarding practice of their expertise in diving into the ocean.