• The Pure and Applied Mathematics
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• v.10 no.1
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• pp.25-35
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• 2003

We study equivalent definitions and some categorical properties of completely regular quasi-ordered spaces and zero-dimensional quasi-ordered spaces. Using the o-completely regular (resp. o-zero-dimensional) filters on a completely regular (resp. zero-dimensional) quasi-ordered space, we show that the category COMPOS (resp. ZCOMPOS) of compact (resp. compact zero-dimensional) partially ordered spaces is reflective in the category CRQOS (resp. ZQOS) of completely regular (resp. zero-dimensional) quasi-ordered spaces and continuous isotones.

• Korean Journal of Mathematics
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• v.9 no.2
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• pp.99-104
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• 2001

We give the characterization of left(right) semi-regular $po$-semigroups and $Ve$-semigroups.

• Bulletin of the Korean Mathematical Society
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• v.30 no.1
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• pp.117-124
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• 1993

In this paper, we introduce a concept of quasi $O_{z}$ -spaces which generalizes that of $O_{z}$ -spaces. Indeed, a completely regular space X is a quasi $O_{z}$ -space if for any regular closed set A in X, there is a zero-set Z in X with A = c $l_{x}$ (in $t_{x}$ (Z)). We then show that X is a quasi $O_{z}$ -space iff every open subset of X is $Z^{#}$-embedded and that X is a quasi $O_{z}$ -spaces are left fitting with respect to covering maps. Observing that a quasi $O_{z}$ -space is an extremally disconnected iff it is a cloz-space, the minimal extremally disconnected cover, basically disconnected cover, quasi F-cover, and cloz-cover of a quasi $O_{z}$ -space X are all equivalent. Finally it is shown that a compactification Y of a quasi $O_{z}$ -space X is again a quasi $O_{z}$ -space iff X is $Z^{#}$-embedded in Y. For the terminology, we refer to [6].[6].

• Journal of applied mathematics & informatics
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• v.10 no.1_2
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• pp.361-370
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• 2002

We are to present some properties of binary relations on fuzzy topological spares by means of categorical method. The concept of fuzzy topological ordered spaces was introduced by Katsaras[8]. In this paper we study some special categories, i.e, FTQOS, FTPOS, LSCQ, USCQ, SCQ, CQ, NQO, CRQO, associated with fuzzy topological spaces.

• Korean Journal of Poultry Science
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• v.11 no.1
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• pp.33-39
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• 1984

The pattern of economic integration in the broiler industry can be grouped into three categories; 1) non-integration, 2) quasi-integration and 3) complete-integration. It is general to see that the non-integration is quite common under the market conditions of perfect competition, whereas the complete integration is more preferable in the imperfect competition. The quasi-integration, however, exists at all phases where the complete integration is not fully formed and implemented, but the non-integration has begun to alter its nature into integrated structure. The broiler industry in Korea has been characterized with the typically non-integrated independent operation, resulting in considerable price fluctuation and unstable industry as a whole. As a means of solving out the problem stemed from the non-integrated, growers and agribusinessmen involved in broiler industry have tended to develope the regular customer relationship prevailed between two parties. In fact, it has been practiced for years that most growers have been dealt with factor suppliers or processors on a regular basis for advantages of better price and quality, useful information, management help and so forth. Under the customary transaction, no formal contract has been made due to simple buyers and sellers relations, not like the one used to be performed in the form of contractual agreement. The broiler industry realizes the direction to go ahead toward the formal arrangement of integrated system from current regular transactions. As more Vowers, suppliers and processors recognize the necessity of it, the non-integrated industry appears to become the partially integrated by developing the existing customer relationship in such a way that functions of integrators are. further expanded and better organized. As a result, a type of quasi-integration started to show up by an integrator dominated in the field of hatching, feedmilling, dressing and by a grower's coop, It is concluded, therefore, that the evolution of quasi-integration in Korea's broiler industry is continuously taking place, implying the close approach to the completely integrated broiler production and marketing system.

• Bulletin of the Korean Mathematical Society
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• v.50 no.5
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• pp.1433-1439
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• 2013

A ring R is called left morphic if $$R/Ra{\simeq_-}l(a)$$ for every $a{\in}R$. Equivalently, for every $a{\in}R$ there exists $b{\in}R$ such that $Ra=l(b)$ and $l(a)=Rb$. A ring R is called left quasi-morphic if there exist $b$ and $c$ in R such that $Ra=l(b)$ and $l(a)=Rc$ for every $a{\in}R$. A result of T.-K. Lee and Y. Zhou says that R is unit regular if and only if $$R[x]/(x^2){\simeq_-}R{\propto}R$$ is morphic. Motivated by this result, we investigate the morphic property of the ring $$S_n=^{def}R[x_1,x_2,{\cdots},x_n]/(\{x_ix_j\})$$, where $i,j{\in}\{1,2,{\cdots},n\}$. The morphic elements of $S_n$ are completely determined when R is strongly regular.